1
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Shook AJ, Varga E, Boettcher I, Davis JP. Surface State Dissipation in Confined ^{3}He-A. PHYSICAL REVIEW LETTERS 2024; 132:156001. [PMID: 38682961 DOI: 10.1103/physrevlett.132.156001] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/16/2023] [Accepted: 03/15/2024] [Indexed: 05/01/2024]
Abstract
We have studied the power dependence of superfluid Helmholtz resonators in flat (750 and 1800 nm) rectangular channels. In the A phase of superfluid ^{3}He, we observe a nonlinear response for velocities larger than a critical value. The small size of the channels stabilizes a static uniform texture that eliminates dissipative processes produced by changes in the texture. For such a static texture, the lowest velocity dissipative process is due to the pumping of surface bound states into the bulk liquid. We show that the temperature dependence of the critical velocity observed in our devices is consistent with this surface-state dissipation. Characterization of the force-velocity curves of our devices may provide a platform for studying the physics of exotic surface bound states in superfluid ^{3}He.
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Affiliation(s)
- Alexander J Shook
- Department of Physics, University of Alberta, Edmonton, Alberta T6G 2E9, Canada
| | - Emil Varga
- Department of Physics, University of Alberta, Edmonton, Alberta T6G 2E9, Canada
| | - Igor Boettcher
- Department of Physics, University of Alberta, Edmonton, Alberta T6G 2E9, Canada
| | - John P Davis
- Department of Physics, University of Alberta, Edmonton, Alberta T6G 2E9, Canada
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2
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Castoria KE, Byeon H, Theis J, Beysengulov NR, Glen EO, Koolstra G, Sammon M, Lyon SA, Pollanen J, Rees DG. A hermetic on-cryostat helium source for low temperature experiments. THE REVIEW OF SCIENTIFIC INSTRUMENTS 2024; 95:043902. [PMID: 38563716 DOI: 10.1063/5.0185577] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/01/2023] [Accepted: 03/11/2024] [Indexed: 04/04/2024]
Abstract
We describe a helium source cell for use in cryogenic experiments that is hermetically sealed in situ on the cold plate of a cryostat. The source cell is filled with helium gas at room temperature and, subsequently, sealed using a cold weld crimping tool before the cryostat is closed and cooled down. At low temperatures, the helium condenses and collects in a connected experimental volume, as monitored via the frequency response of a planar superconducting resonator device sensitive to small amounts of liquid helium. This on-cryostat helium source negates the use of a filling tube between the cryogenic volumes and room temperature, thereby preventing unwanted effects such as temperature instabilities that arise from the thermomechanical motion of helium within the system. This helium source can be used in experiments investigating the properties of quantum fluids or to better thermalize quantum devices.
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Affiliation(s)
| | - H Byeon
- EeroQ Corporation, Chicago, Illinois 60651, USA
| | - J Theis
- EeroQ Corporation, Chicago, Illinois 60651, USA
| | | | - E O Glen
- EeroQ Corporation, Chicago, Illinois 60651, USA
| | - G Koolstra
- EeroQ Corporation, Chicago, Illinois 60651, USA
| | - M Sammon
- EeroQ Corporation, Chicago, Illinois 60651, USA
| | - S A Lyon
- EeroQ Corporation, Chicago, Illinois 60651, USA
| | - J Pollanen
- EeroQ Corporation, Chicago, Illinois 60651, USA
| | - D G Rees
- EeroQ Corporation, Chicago, Illinois 60651, USA
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3
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Midlik Š, Gablech I, Goleňa M, Brodský J, Schmoranzer D. Parylene-bonded micro-fluidic channels for cryogenic experiments at superfluid He-4 temperatures. THE REVIEW OF SCIENTIFIC INSTRUMENTS 2024; 95:033901. [PMID: 38426903 DOI: 10.1063/5.0162532] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/15/2023] [Accepted: 02/06/2024] [Indexed: 03/02/2024]
Abstract
We present the manufacturing process of a (24.5 × 100) μm2-sized on-chip flow channel intended for flow experiments with normal and superfluid phases of 4He and showcase such a proof-of-concept experiment. This work proves the suitability of chip-to-chip bonding using a thin layer of Parylene-C for cryogenic temperatures as a simpler alternative to other techniques, such as anodic bonding. A monocrystalline silicon chip embeds the etched meander-shaped micro-fluidic channel and a deposited platinum heater and is bonded to a Pyrex glass top. We test the leak tightness of the proposed bonding method for superfluid 4He, reaching temperatures of ≈1.6 K and evaluate its possible effects on flow experiments. We demonstrate that powering an on-chip platinum heater affects the superfluid flow rate by local overheating of a section of the micro-fluidic channel.
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Affiliation(s)
- Š Midlik
- Faculty of Mathematics and Physics, Charles University, Prague, Czech Republic
| | - I Gablech
- Department of Microelectronics, Faculty of Electrical Engineering and Communication, Brno University of Technology, Brno, Czech Republic
| | - M Goleňa
- Faculty of Mathematics and Physics, Charles University, Prague, Czech Republic
| | - J Brodský
- Department of Microelectronics, Faculty of Electrical Engineering and Communication, Brno University of Technology, Brno, Czech Republic
| | - D Schmoranzer
- Faculty of Mathematics and Physics, Charles University, Prague, Czech Republic
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4
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Autti S, Haley RP, Jennings A, Pickett GR, Poole M, Schanen R, Soldatov AA, Tsepelin V, Vonka J, Zavjalov VV, Zmeev DE. Transport of bound quasiparticle states in a two-dimensional boundary superfluid. Nat Commun 2023; 14:6819. [PMID: 37919295 PMCID: PMC10622538 DOI: 10.1038/s41467-023-42520-y] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/17/2023] [Accepted: 10/13/2023] [Indexed: 11/04/2023] Open
Abstract
The B phase of superfluid 3He can be cooled into the pure superfluid regime, where the thermal quasiparticle density is negligible. The bulk superfluid is surrounded by a quantum well at the boundaries of the container, confining a sea of quasiparticles with energies below that of those in the bulk. We can create a non-equilibrium distribution of these states within the quantum well and observe the dynamics of their motion indirectly. Here we show that the induced quasiparticle currents flow diffusively in the two-dimensional system. Combining this with a direct measurement of energy conservation, we conclude that the bulk superfluid 3He is effectively surrounded by an independent two-dimensional superfluid, which is isolated from the bulk superfluid but which readily interacts with mechanical probes. Our work shows that this two-dimensional quantum condensate and the dynamics of the surface bound states are experimentally accessible, opening the possibility of engineering two-dimensional quantum condensates of arbitrary topology.
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Affiliation(s)
- Samuli Autti
- Department of Physics, Lancaster University, Lancaster, LA1 4YB, UK.
| | - Richard P Haley
- Department of Physics, Lancaster University, Lancaster, LA1 4YB, UK
| | - Asher Jennings
- Department of Physics, Lancaster University, Lancaster, LA1 4YB, UK
- RIKEN Center for Quantum Computing, RIKEN, Wako, 351-0198, Japan
| | - George R Pickett
- Department of Physics, Lancaster University, Lancaster, LA1 4YB, UK
| | - Malcolm Poole
- Department of Physics, Lancaster University, Lancaster, LA1 4YB, UK
| | - Roch Schanen
- Department of Physics, Lancaster University, Lancaster, LA1 4YB, UK
| | - Arkady A Soldatov
- P.L. Kapitza Institute for Physical Problems of RAS, 119334, Moscow, Russia
| | - Viktor Tsepelin
- Department of Physics, Lancaster University, Lancaster, LA1 4YB, UK
| | - Jakub Vonka
- Department of Physics, Lancaster University, Lancaster, LA1 4YB, UK
- Paul Scherrer Institute, Forschungsstrasse 111, 5232, Villigen PSI, Switzerland
| | | | - Dmitry E Zmeev
- Department of Physics, Lancaster University, Lancaster, LA1 4YB, UK
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5
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Baten RN, Tian Y, Smith EN, Mueller EJ, Parpia JM. Observation of suppressed viscosity in the normal state of 3He due to superfluid fluctuations. Nat Commun 2023; 14:5834. [PMID: 37730714 PMCID: PMC10511454 DOI: 10.1038/s41467-023-41422-3] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/15/2023] [Accepted: 08/31/2023] [Indexed: 09/22/2023] Open
Abstract
Evidence of fluctuations in transport have long been predicted in 3He. They are expected to contribute only within 100μK of Tc and play a vital role in the theoretical modeling of ordering; they encode details about the Fermi liquid parameters, pairing symmetry, and scattering phase shifts. It is expected that they will be of crucial importance for transport probes of the topologically nontrivial features of superfluid 3He under strong confinement. Here we characterize the temperature and pressure dependence of the fluctuation signature, by monitoring the quality factor of a quartz tuning fork oscillator. We have observed a fluctuation-driven reduction in the viscosity of bulk 3He, finding data collapse consistent with the predicted theoretical behavior.
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Affiliation(s)
- Rakin N Baten
- Department of Physics, Cornell University, Ithaca, NY, 14853, USA
| | - Yefan Tian
- Department of Physics, Cornell University, Ithaca, NY, 14853, USA
| | - Eric N Smith
- Department of Physics, Cornell University, Ithaca, NY, 14853, USA
| | - Erich J Mueller
- Department of Physics, Cornell University, Ithaca, NY, 14853, USA
| | - Jeevak M Parpia
- Department of Physics, Cornell University, Ithaca, NY, 14853, USA.
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6
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Wu H, Sauls JA. Weyl Fermions and broken symmetry phases of laterally confined 3He films. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2023; 35:495402. [PMID: 37625425 DOI: 10.1088/1361-648x/acf42b] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/06/2023] [Accepted: 08/25/2023] [Indexed: 08/27/2023]
Abstract
Broken symmetries in topological condensed matter systems have implications for the spectrum of Fermionic excitations confined on surfaces or topological defects. The Fermionic spectrum of confined (quasi-2D)3He-A consists of branches of chiral edge states. The negative energy states are related to the ground-state angular momentum,Lz=(N/2)ℏ, forN/2Cooper pairs. The power law suppression of the angular momentum,Lz(T)≃(N/2)ℏ[1-23(πT/Δ)2]for0⩽T≪Tc, in the fully gapped 2D chiral A-phase reflects the thermal excitation of the chiral edge Fermions. We discuss the effects of wave function overlap, and hybridization between edge states confined near opposing edge boundaries on the edge currents, ground-state angular momentum and ground-state order parameter of superfluid3He thin films. Under strong lateral confinement, the chiral A phase undergoes a sequence of phase transitions, first to a pair density wave (PDW) phase with broken translational symmetry atDc2∼16ξ0. The PDW phase is described by a periodic array of chiral domains with alternating chirality, separated by domain walls. The period of PDW phase diverges as the confinement lengthD→Dc2. The PDW phase breaks time-reversal symmetry, translation invariance, but is invariant under the combination of time-reversal and translation by a one-half period of the PDW. The mass current distribution of the PDW phase reflects this combined symmetry, and originates from the spectra of edge Fermions and the chiral branches bound to the domain walls. Under sufficiently strong confinement a second-order transition occurs to the non-chiral 'polar phase' atDc1∼9ξ0, in which a single p-wave orbital state of Cooper pairs is aligned along the channel.
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Affiliation(s)
- Hao Wu
- Department of Physics and Astronomy, Northwestern University, Evanston, IL 60208, United States of America
| | - J A Sauls
- Department of Physics and Astronomy, Northwestern University, Evanston, IL 60208, United States of America
- Hearne Institute of Theoretical Physics, Louisiana State University, Baton Rouge, LA 70803, United States of America
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7
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Krivdin LB. An overview of Helium-3 NMR: Recent developments and applications. PROGRESS IN NUCLEAR MAGNETIC RESONANCE SPECTROSCOPY 2023; 136-137:83-109. [PMID: 37716756 DOI: 10.1016/j.pnmrs.2023.08.001] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/05/2023] [Revised: 06/30/2023] [Accepted: 08/13/2023] [Indexed: 09/18/2023]
Abstract
The present review is focused on experimental and theoretical methods together with applications of helium NMR in chemistry and biochemistry. It comprises two main sections, the first dealing with standardization and instrumentation for 3He NMR spectroscopy and the second dealing with its practical applications, mainly those in general and organic chemistry with a special emphasis on the rapidly developing and exciting area of fullerenes encapsulating helium atoms. Several general applications of 3He NMR spectroscopy in physical chemistry and biomedicine are also briefly discussed.
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Affiliation(s)
- Leonid B Krivdin
- A.E. Favorsky Irkutsk Institute of Chemistry, Siberian Branch of the Russian Academy of Sciences, Favorsky St. 1, 664033 Irkutsk, Russia.
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8
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Scott JW, Nguyen MD, Park D, Halperin WP. Magnetic Susceptibility of Andreev Bound States in Superfluid ^{3}He-B. PHYSICAL REVIEW LETTERS 2023; 131:046001. [PMID: 37566829 DOI: 10.1103/physrevlett.131.046001] [Citation(s) in RCA: 2] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/03/2023] [Revised: 05/23/2023] [Accepted: 06/12/2023] [Indexed: 08/13/2023]
Abstract
Nuclear magnetic resonance measurements of the magnetic susceptibility of superfluid ^{3}He imbibed in anisotropic aerogel reveal anomalous behavior at low temperatures. Although the frequency shift clearly identifies a low-temperature phase as the B phase, the magnetic susceptibility does not display the expected decrease associated with the formation of the opposite-spin Cooper pairs. This susceptibility anomaly appears to be the predicted high-field behavior corresponding to the Ising-like magnetic character of surface Andreev bound states within the planar aerogel structures.
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Affiliation(s)
- J W Scott
- Northwestern University, Evanston, Illinois 60208, USA
| | - M D Nguyen
- Northwestern University, Evanston, Illinois 60208, USA
| | - D Park
- Northwestern University, Evanston, Illinois 60208, USA
| | - W P Halperin
- Northwestern University, Evanston, Illinois 60208, USA
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9
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Kamppinen T, Rysti J, Volard MM, Volovik GE, Eltsov VB. Topological nodal line in superfluid 3He and the Anderson theorem. Nat Commun 2023; 14:4276. [PMID: 37460543 DOI: 10.1038/s41467-023-39977-2] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/16/2022] [Accepted: 07/06/2023] [Indexed: 07/20/2023] Open
Abstract
Superconductivity and superfluidity with anisotropic pairing-such as d-wave in cuprates and p-wave in superfluid 3He-are strongly suppressed by impurities. Meanwhile, for applications, the robustness of Cooper pairs to disorder is highly desired. Recently, it has been suggested that unconventional systems become robust if the impurity scattering mixes quasiparticle states only within individual subsystems obeying the Anderson theorem that protects conventional superconductivity. Here, we experimentally verify this conjecture by measuring the temperature dependence of the energy gap in the polar phase of superfluid 3He. We show that oriented columnar non-magnetic defects do not essentially modify the energy spectrum, which has a Dirac nodal line. Although the scattering is strong, it preserves the momentum along the length of the columns and forms robust subsystems according to the conjecture. This finding may stimulate future experiments on the protection of topological superconductivity against disorder and on the nature of topological fermionic flat bands.
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Affiliation(s)
- T Kamppinen
- Department of Applied Physics, Aalto University, POB 15100, FI-00076, AALTO, Finland
| | - J Rysti
- Department of Applied Physics, Aalto University, POB 15100, FI-00076, AALTO, Finland
| | - M-M Volard
- Department of Applied Physics, Aalto University, POB 15100, FI-00076, AALTO, Finland
| | - G E Volovik
- Department of Applied Physics, Aalto University, POB 15100, FI-00076, AALTO, Finland
- Landau Institute for Theoretical Physics, 142432, Chernogolovka, Russia
| | - V B Eltsov
- Department of Applied Physics, Aalto University, POB 15100, FI-00076, AALTO, Finland.
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10
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Lucas M, Danilov AV, Levitin LV, Jayaraman A, Casey AJ, Faoro L, Tzalenchuk AY, Kubatkin SE, Saunders J, de Graaf SE. Quantum bath suppression in a superconducting circuit by immersion cooling. Nat Commun 2023; 14:3522. [PMID: 37316500 DOI: 10.1038/s41467-023-39249-z] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/13/2023] [Accepted: 06/02/2023] [Indexed: 06/16/2023] Open
Abstract
Quantum circuits interact with the environment via several temperature-dependent degrees of freedom. Multiple experiments to-date have shown that most properties of superconducting devices appear to plateau out at T ≈ 50 mK - far above the refrigerator base temperature. This is for example reflected in the thermal state population of qubits, in excess numbers of quasiparticles, and polarisation of surface spins - factors contributing to reduced coherence. We demonstrate how to remove this thermal constraint by operating a circuit immersed in liquid 3He. This allows to efficiently cool the decohering environment of a superconducting resonator, and we see a continuous change in measured physical quantities down to previously unexplored sub-mK temperatures. The 3He acts as a heat sink which increases the energy relaxation rate of the quantum bath coupled to the circuit a thousand times, yet the suppressed bath does not introduce additional circuit losses or noise. Such quantum bath suppression can reduce decoherence in quantum circuits and opens a route for both thermal and coherence management in quantum processors.
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Affiliation(s)
- M Lucas
- Physics Department, Royal Holloway University of London, Egham, UK
| | - A V Danilov
- Department of Microtechnology and Nanoscience MC2, Chalmers University of Technology, SE-412 96, Göteborg, Sweden
| | - L V Levitin
- Physics Department, Royal Holloway University of London, Egham, UK
| | - A Jayaraman
- Department of Microtechnology and Nanoscience MC2, Chalmers University of Technology, SE-412 96, Göteborg, Sweden
| | - A J Casey
- Physics Department, Royal Holloway University of London, Egham, UK
| | - L Faoro
- Google Quantum AI, Google Research, Mountain View, CA, USA
| | - A Ya Tzalenchuk
- Physics Department, Royal Holloway University of London, Egham, UK
- National Physical Laboratory, Teddington, TW11 0LW, UK
| | - S E Kubatkin
- Department of Microtechnology and Nanoscience MC2, Chalmers University of Technology, SE-412 96, Göteborg, Sweden
| | - J Saunders
- Physics Department, Royal Holloway University of London, Egham, UK
| | - S E de Graaf
- National Physical Laboratory, Teddington, TW11 0LW, UK.
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11
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Supercooling of the A phase of 3He. Nat Commun 2023; 14:148. [PMID: 36627275 PMCID: PMC9832038 DOI: 10.1038/s41467-022-35532-7] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/20/2022] [Accepted: 12/07/2022] [Indexed: 01/11/2023] Open
Abstract
Because of the extreme purity, lack of disorder, and complex order parameter, the first-order superfluid 3He A-B transition is the leading model system for first order transitions in the early universe. Here we report on the path dependence of the supercooling of the A phase over a wide range of pressures below 29.3 bar at nearly zero magnetic field. The A phase can be cooled significantly below the thermodynamic A-B transition temperature. While the extent of supercooling is highly reproducible, it depends strongly upon the cooling trajectory: The metastability of the A phase is enhanced by transiting through regions where the A phase is more stable. We provide evidence that some of the additional supercooling is due to the elimination of B phase nucleation precursors formed upon passage through the superfluid transition. A greater understanding of the physics is essential before 3He can be exploited to model transitions in the early universe.
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12
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Abstract
A time crystal is a macroscopic quantum system in periodic motion in its ground state. In our experiments, two coupled time crystals consisting of spin-wave quasiparticles (magnons) form a macroscopic two-level system. The two levels evolve in time as determined intrinsically by a nonlinear feedback, allowing us to construct spontaneous two-level dynamics. In the course of a level crossing, magnons move from the ground level to the excited level driven by the Landau-Zener effect, combined with Rabi population oscillations. We demonstrate that magnon time crystals allow access to every aspect and detail of quantum-coherent interactions in a single run of the experiment. Our work opens an outlook for the detection of surface-bound Majorana fermions in the underlying superfluid system, and invites technological exploitation of coherent magnon phenomena – potentially even at room temperature. Recent work has reported a realization of a time crystal in the form of the Bose-Einstein condensate of magnons in superfluid 3He. Here, the authors study the dynamics of a pair of such quantum time crystals and show that it closely resembles the evolution of a two-level system, modified by nonlinear feedback.
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13
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Abstract
Helium-3 has nowadays become one of the most important candidates for studies in fundamental physics1-3, nuclear and atomic structure4,5, magnetometry and metrology6, as well as chemistry and medicine7,8. In particular, 3He nuclear magnetic resonance (NMR) probes have been proposed as a new standard for absolute magnetometry6,9. This requires a high-accuracy value for the 3He nuclear magnetic moment, which, however, has so far been determined only indirectly and with a relative precision of 12 parts per billon10,11. Here we investigate the 3He+ ground-state hyperfine structure in a Penning trap to directly measure the nuclear g-factor of 3He+ [Formula: see text], the zero-field hyperfine splitting [Formula: see text] Hz and the bound electron g-factor [Formula: see text]. The latter is consistent with our theoretical value [Formula: see text] based on parameters and fundamental constants from ref. 12. Our measured value for the 3He+ nuclear g-factor enables determination of the g-factor of the bare nucleus [Formula: see text] via our accurate calculation of the diamagnetic shielding constant13 [Formula: see text]. This constitutes a direct calibration for 3He NMR probes and an improvement of the precision by one order of magnitude compared to previous indirect results. The measured zero-field hyperfine splitting improves the precision by two orders of magnitude compared to the previous most precise value14 and enables us to determine the Zemach radius15 to [Formula: see text] fm.
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14
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Lotnyk D, Eyal A, Zhelev N, Sebastian A, Tian Y, Chavez A, Smith E, Saunders J, Mueller E, Parpia J. Path-Dependent Supercooling of the ^{3}He Superfluid A-B Transition. PHYSICAL REVIEW LETTERS 2021; 126:215301. [PMID: 34114839 DOI: 10.1103/physrevlett.126.215301] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/06/2021] [Revised: 03/22/2021] [Accepted: 04/27/2021] [Indexed: 06/12/2023]
Abstract
We examine the discontinuous first-order superfluid ^{3}He A to B transition in the vicinity of the polycritical point (2.232 mK and 21.22 bar). We find path-dependent transitions: cooling at fixed pressure yields a well-defined transition line in the temperature-pressure plane, but this line can be reliably crossed by depressurizing at nearly constant temperature after transiting T_{c} at a higher pressure. This path dependence is not consistent with any of the standard B-phase nucleation mechanisms in the literature. This symmetry breaking transition is a potential simulator for first order transitions in the early Universe.
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Affiliation(s)
- Dmytro Lotnyk
- Department of Physics, Cornell University, Ithaca, New York 14853, USA
| | - Anna Eyal
- Department of Physics, Cornell University, Ithaca, New York 14853, USA
- Physics Department, Technion, Haifa 3200003, Israel
| | - Nikolay Zhelev
- Department of Physics, Cornell University, Ithaca, New York 14853, USA
| | - Abhilash Sebastian
- Department of Physics, Cornell University, Ithaca, New York 14853, USA
- VTT Technical Research Centre of Finland Ltd, Espoo 02150, Finland
| | - Yefan Tian
- Department of Physics, Cornell University, Ithaca, New York 14853, USA
| | - Aldo Chavez
- Department of Physics, Cornell University, Ithaca, New York 14853, USA
| | - Eric Smith
- Department of Physics, Cornell University, Ithaca, New York 14853, USA
| | - John Saunders
- Department of Physics, Royal Holloway University of London, Egham TW20 0EX, Surrey, United Kingdom
| | - Erich Mueller
- Department of Physics, Cornell University, Ithaca, New York 14853, USA
| | - Jeevak Parpia
- Department of Physics, Cornell University, Ithaca, New York 14853, USA
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