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Van Regemortel M, Cian ZP, Seif A, Dehghani H, Hafezi M. Entanglement Entropy Scaling Transition under Competing Monitoring Protocols. Phys Rev Lett 2021; 126:123604. [PMID: 33834828 DOI: 10.1103/physrevlett.126.123604] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/21/2020] [Revised: 01/05/2021] [Accepted: 03/01/2021] [Indexed: 06/12/2023]
Abstract
Dissipation generally leads to the decoherence of a quantum state. In contrast, numerous recent proposals have illustrated that dissipation can also be tailored to stabilize many-body entangled quantum states. While the focus of these works has been primarily on engineering the nonequilibrium steady state, we investigate the buildup of entanglement in the quantum trajectories. Specifically, we analyze the competition between two different dissipation channels arising from two incompatible continuous monitoring protocols. The first protocol locks the phase of neighboring sites upon registering a quantum jump, thereby generating a long-range entanglement through the system, while the second destroys the coherence via a dephasing mechanism. By studying the unraveling of stochastic quantum trajectories associated with the continuous monitoring protocols, we present a transition for the scaling of the averaged trajectory entanglement entropies, from critical scaling to area-law behavior. Our work provides an alternative perspective on the measurement-induced phase transition: the measurement can be viewed as monitoring and registering quantum jumps, offering an intriguing extension of these phase transitions through the long-established realm of quantum optics.
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Affiliation(s)
- Mathias Van Regemortel
- Joint Quantum Institute, College Park, 20742 Maryland, USA and The Institute for Research in Electronics and Applied Physics, University of Maryland, College Park, 20742 Maryland, USA
| | - Ze-Pei Cian
- Joint Quantum Institute, College Park, 20742 Maryland, USA and The Institute for Research in Electronics and Applied Physics, University of Maryland, College Park, 20742 Maryland, USA
| | - Alireza Seif
- Joint Quantum Institute, College Park, 20742 Maryland, USA and The Institute for Research in Electronics and Applied Physics, University of Maryland, College Park, 20742 Maryland, USA
| | - Hossein Dehghani
- Joint Quantum Institute, College Park, 20742 Maryland, USA and The Institute for Research in Electronics and Applied Physics, University of Maryland, College Park, 20742 Maryland, USA
| | - Mohammad Hafezi
- Joint Quantum Institute, College Park, 20742 Maryland, USA and The Institute for Research in Electronics and Applied Physics, University of Maryland, College Park, 20742 Maryland, USA
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De Bernardis D, Cian ZP, Carusotto I, Hafezi M, Rabl P. Light-Matter Interactions in Synthetic Magnetic Fields: Landau-Photon Polaritons. Phys Rev Lett 2021; 126:103603. [PMID: 33784168 DOI: 10.1103/physrevlett.126.103603] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/18/2020] [Accepted: 02/16/2021] [Indexed: 06/12/2023]
Abstract
We study light-matter interactions in two-dimensional photonic systems in the presence of a spatially homogeneous synthetic magnetic field for light. Specifically, we consider one or more two-level emitters located in the bulk region of the lattice, where for increasing magnetic field the photonic modes change from extended plane waves to circulating Landau levels. This change has a drastic effect on the resulting emitter-field dynamics, which becomes intrinsically non-Markovian and chiral, leading to the formation of strongly coupled Landau-photon polaritons. The peculiar dynamical and spectral properties of these quasiparticles can be probed with state-of-the-art photonic lattices in the optical and the microwave domain and may find various applications for the quantum simulation of strongly interacting topological models.
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Affiliation(s)
- Daniele De Bernardis
- Vienna Center for Quantum Science and Technology, Atominstitut, TU Wien, 1040 Vienna, Austria
| | - Ze-Pei Cian
- Joint Quantum Institute, College Park, 20742 Maryland, USA
| | - Iacopo Carusotto
- INO-CNR BEC Center and Dipartimento di Fisica, Università di Trento, I-38123 Povo, Italy
| | - Mohammad Hafezi
- Joint Quantum Institute, College Park, 20742 Maryland, USA
- The Institute for Research in Electronics and Applied Physics, University of Maryland, College Park, 20742 Maryland, USA
| | - Peter Rabl
- Vienna Center for Quantum Science and Technology, Atominstitut, TU Wien, 1040 Vienna, Austria
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Cian ZP, Dehghani H, Elben A, Vermersch B, Zhu G, Barkeshli M, Zoller P, Hafezi M. Many-Body Chern Number from Statistical Correlations of Randomized Measurements. Phys Rev Lett 2021; 126:050501. [PMID: 33605765 DOI: 10.1103/physrevlett.126.050501] [Citation(s) in RCA: 10] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/02/2020] [Accepted: 12/01/2020] [Indexed: 06/12/2023]
Abstract
One of the main topological invariants that characterizes several topologically ordered phases is the many-body Chern number (MBCN). Paradigmatic examples include several fractional quantum Hall phases, which are expected to be realized in different atomic and photonic quantum platforms in the near future. Experimental measurement and numerical computation of this invariant are conventionally based on the linear-response techniques that require having access to a family of states, as a function of an external parameter, which is not suitable for many quantum simulators. Here, we propose an ancilla-free experimental scheme for the measurement of this invariant, without requiring any knowledge of the Hamiltonian. Specifically, we use the statistical correlations of randomized measurements to infer the MBCN of a wave function. Remarkably, our results apply to disklike geometries that are more amenable to current quantum simulator architectures.
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Affiliation(s)
- Ze-Pei Cian
- Joint Quantum Institute, College Park, Maryland 20742, USA
- The Institute for Research in Electronics and Applied Physics, University of Maryland, College Park, Maryland 20742, USA
| | - Hossein Dehghani
- Joint Quantum Institute, College Park, Maryland 20742, USA
- The Institute for Research in Electronics and Applied Physics, University of Maryland, College Park, Maryland 20742, USA
| | - Andreas Elben
- Center for Quantum Physics, University of Innsbruck, Innsbruck A-6020, Austria
- Institute for Quantum Optics and Quantum Information of the Austrian Academy of Sciences, Innsbruck A-6020, Austria
| | - Benoît Vermersch
- Center for Quantum Physics, University of Innsbruck, Innsbruck A-6020, Austria
- Institute for Quantum Optics and Quantum Information of the Austrian Academy of Sciences, Innsbruck A-6020, Austria
- Université Grenoble Alpes, CNRS, LPMMC, 38000 Grenoble, France
| | - Guanyu Zhu
- IBM T.J. Watson Research Center, Yorktown Heights, New York 10598, USA
| | - Maissam Barkeshli
- Joint Quantum Institute, College Park, Maryland 20742, USA
- Condensed Matter Theory Center, Department of Physics, University of Maryland, College Park, Maryland 20742, USA
| | - Peter Zoller
- Center for Quantum Physics, University of Innsbruck, Innsbruck A-6020, Austria
- Institute for Quantum Optics and Quantum Information of the Austrian Academy of Sciences, Innsbruck A-6020, Austria
| | - Mohammad Hafezi
- Joint Quantum Institute, College Park, Maryland 20742, USA
- The Institute for Research in Electronics and Applied Physics, University of Maryland, College Park, Maryland 20742, USA
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Cian ZP, Zhu G, Chu SK, Seif A, DeGottardi W, Jiang L, Hafezi M. Photon Pair Condensation by Engineered Dissipation. Phys Rev Lett 2019; 123:063602. [PMID: 31491141 DOI: 10.1103/physrevlett.123.063602] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/29/2019] [Indexed: 06/10/2023]
Abstract
Dissipation can usually induce detrimental decoherence in a quantum system. However, engineered dissipation can be used to prepare and stabilize coherent quantum many-body states. Here, we show that, by engineering dissipators containing photon pair operators, one can stabilize an exotic dark state, which is a condensate of photon pairs with a phase-nematic order. In this system, the usual superfluid order parameter, i.e., single-photon correlation, is absent, while the photon pair correlation exhibits long-range order. Although the dark state is not unique due to multiple parity sectors, we devise an additional type of dissipators to stabilize the dark state in a particular parity sector via a diffusive annihilation process which obeys Glauber dynamics in an Ising model. Furthermore, we propose an implementation of these photon pair dissipators in circuit-QED architecture.
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Affiliation(s)
- Ze-Pei Cian
- Department of Physics, University of Maryland, College Park, Maryland 20742, USA
- Joint Quantum Institute, NIST/University of Maryland, College Park, Maryland 20742, USA
| | - Guanyu Zhu
- Joint Quantum Institute, NIST/University of Maryland, College Park, Maryland 20742, USA
| | - Su-Kuan Chu
- Department of Physics, University of Maryland, College Park, Maryland 20742, USA
- Joint Quantum Institute, NIST/University of Maryland, College Park, Maryland 20742, USA
- Joint Center for Quantum Information and Computer Science, NIST/University of Maryland, College Park, Maryland 20742, USA
| | - Alireza Seif
- Department of Physics, University of Maryland, College Park, Maryland 20742, USA
- Joint Quantum Institute, NIST/University of Maryland, College Park, Maryland 20742, USA
| | - Wade DeGottardi
- Joint Quantum Institute, NIST/University of Maryland, College Park, Maryland 20742, USA
- Institute for Research in Electronics and Applied Physics, University of Maryland, College Park, Maryland 20742, USA
| | - Liang Jiang
- Departments of Applied Physics and Physics, Yale University, New Haven, Connecticut 06511, USA
- Yale Quantum Institute, Yale University, New Haven, Connecticut 06511, USA
| | - Mohammad Hafezi
- Department of Physics, University of Maryland, College Park, Maryland 20742, USA
- Joint Quantum Institute, NIST/University of Maryland, College Park, Maryland 20742, USA
- Institute for Research in Electronics and Applied Physics, University of Maryland, College Park, Maryland 20742, USA
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