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Zhang C, Kundu S, Makri N, Gruebele M, Wolynes PG. Quantum information scrambling and chemical reactions. Proc Natl Acad Sci U S A 2024; 121:e2321668121. [PMID: 38557180 PMCID: PMC11009637 DOI: 10.1073/pnas.2321668121] [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: 12/08/2023] [Accepted: 02/22/2024] [Indexed: 04/04/2024] Open
Abstract
The ultimate regularity of quantum mechanics creates a tension with the assumption of classical chaos used in many of our pictures of chemical reaction dynamics. Out-of-time-order correlators (OTOCs) provide a quantum analog to the Lyapunov exponents that characterize classical chaotic motion. Maldacena, Shenker, and Stanford have suggested a fundamental quantum bound for the rate of information scrambling, which resembles a limit suggested by Herzfeld for chemical reaction rates. Here, we use OTOCs to study model reactions based on a double-well reaction coordinate coupled to anharmonic oscillators or to a continuum oscillator bath. Upon cooling, as one enters the tunneling regime where the reaction rate does not strongly depend on temperature, the quantum Lyapunov exponent can approach the scrambling bound and the effective reaction rate obtained from a population correlation function can approach the Herzfeld limit on reaction rates: Tunneling increases scrambling by expanding the state space available to the system. The coupling of a dissipative continuum bath to the reaction coordinate reduces the scrambling rate obtained from the early-time OTOC, thus making the scrambling bound harder to reach, in the same way that friction is known to lower the temperature at which thermally activated barrier crossing goes over to the low-temperature activationless tunneling regime. Thus, chemical reactions entering the tunneling regime can be information scramblers as powerful as the black holes to which the quantum Lyapunov exponent bound has usually been applied.
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Affiliation(s)
- Chenghao Zhang
- Department of Physics, University of Illinois Urbana-Champaign, IL61801
| | - Sohang Kundu
- Department of Chemistry, University of Illinois Urbana-Champaign, IL61801
| | - Nancy Makri
- Department of Physics, University of Illinois Urbana-Champaign, IL61801
- Department of Chemistry, University of Illinois Urbana-Champaign, IL61801
| | - Martin Gruebele
- Department of Physics, University of Illinois Urbana-Champaign, IL61801
- Department of Chemistry, University of Illinois Urbana-Champaign, IL61801
- Center for Biophysics and Quantitative Biology, University of Illinois at Urbana-Champaign, IL61801
- Carle-Illinois College of Medicine, University of Illinois at Urbana-Champaign, IL61801
| | - Peter G. Wolynes
- Department of Chemistry, Rice University, Houston, TX77251
- Department Physics, Rice University, Houston, TX77251
- Center for Theoretical Biological Physics, Rice University, Houston, TX77251
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2
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Fujihashi Y, Ishizaki A, Shimizu R. Pathway selectivity in time-resolved spectroscopy using two-photon coincidence counting with quantum entangled photons. J Chem Phys 2024; 160:104201. [PMID: 38456524 DOI: 10.1063/5.0189134] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/27/2023] [Accepted: 02/09/2024] [Indexed: 03/09/2024] Open
Abstract
Ultrafast optical spectroscopy is a powerful technique for studying the dynamic processes of molecular systems in condensed phases. However, in molecular systems containing many dye molecules, the spectra can become crowded and difficult to interpret owing to the presence of multiple nonlinear optical contributions. In this work, we theoretically propose time-resolved spectroscopy based on the coincidence counting of two entangled photons generated via parametric down-conversion with a monochromatic laser. We demonstrate that the use of two-photon counting detection of entangled photon pairs enables the selective elimination of the excited-state absorption signal. This selective elimination cannot be realized with classical coherent light. We anticipate that the proposed spectroscopy will help simplify the spectral interpretation of complex molecular and material systems comprising multiple molecules.
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Affiliation(s)
- Yuta Fujihashi
- Department of Engineering Science, The University of Electro-Communications, Chofu 182-8585, Japan
| | - Akihito Ishizaki
- Institute for Molecular Science, National Institutes of Natural Sciences, Okazaki 444-8585, Japan
- Graduate Institute for Advanced Studies, SOKENDAI, Okazaki 444-8585, Japan
| | - Ryosuke Shimizu
- Department of Engineering Science, The University of Electro-Communications, Chofu 182-8585, Japan
- Institute for Advanced Science, The University of Electro-Communications, Chofu 182-8585, Japan
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3
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Fujihashi Y, Miwa K, Higashi M, Ishizaki A. Probing exciton dynamics with spectral selectivity through the use of quantum entangled photons. J Chem Phys 2023; 159:114201. [PMID: 37712788 DOI: 10.1063/5.0169768] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/28/2023] [Accepted: 08/28/2023] [Indexed: 09/16/2023] Open
Abstract
Quantum light is increasingly recognized as a promising resource for developing optical measurement techniques. Particular attention has been paid to enhancing the precision of the measurements beyond classical techniques by using nonclassical correlations between quantum entangled photons. Recent advances in the quantum optics technology have made it possible to manipulate spectral and temporal properties of entangled photons, and photon correlations can facilitate the extraction of matter information with relatively simple optical systems compared to conventional schemes. In these respects, the applications of entangled photons to time-resolved spectroscopy can open new avenues for unambiguously extracting information on dynamical processes in complex molecular and materials systems. Here, we propose time-resolved spectroscopy in which specific signal contributions are selectively enhanced by harnessing nonclassical correlations of entangled photons. The entanglement time characterizes the mutual delay between an entangled twin and determines the spectral distribution of photon correlations. The entanglement time plays a dual role as the knob for controlling the accessible time region of dynamical processes and the degrees of spectral selectivity. In this sense, the role of the entanglement time is substantially equivalent to the temporal width of the classical laser pulse. The results demonstrate that the application of quantum entangled photons to time-resolved spectroscopy leads to monitoring dynamical processes in complex molecular and materials systems by selectively extracting desired signal contributions from congested spectra. We anticipate that more elaborately engineered photon states would broaden the availability of quantum light spectroscopy.
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Affiliation(s)
- Yuta Fujihashi
- Department of Molecular Engineering, Kyoto University, Kyoto 615-8510, Japan
- PRESTO, Japan Science and Technology Agency, Kawaguchi 332-0012, Japan
| | - Kuniyuki Miwa
- Institute for Molecular Science, National Institutes of Natural Sciences, Okazaki 444-8585, Japan
- Graduate Institute for Advanced Studies, SOKENDAI, Okazaki 444-8585, Japan
| | - Masahiro Higashi
- Department of Molecular Engineering, Kyoto University, Kyoto 615-8510, Japan
- PRESTO, Japan Science and Technology Agency, Kawaguchi 332-0012, Japan
| | - Akihito Ishizaki
- Institute for Molecular Science, National Institutes of Natural Sciences, Okazaki 444-8585, Japan
- Graduate Institute for Advanced Studies, SOKENDAI, Okazaki 444-8585, Japan
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Gu B, Sun S, Chen F, Mukamel S. Photoelectron spectroscopy with entangled photons; enhanced spectrotemporal resolution. Proc Natl Acad Sci U S A 2023; 120:e2300541120. [PMID: 37186860 PMCID: PMC10214152 DOI: 10.1073/pnas.2300541120] [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: 01/11/2023] [Accepted: 04/03/2023] [Indexed: 05/17/2023] Open
Abstract
In this theoretical study, we show how photoelectron signals generated by time-energy entangled photon pairs can monitor ultrafast excited state dynamics of molecules with high joint spectral and temporal resolutions, not limited by the Fourier uncertainty of classical light. This technique scales linearly, rather than quadratically, with the pump intensity, allowing the study of fragile biological samples with low photon fluxes. Since the spectral resolution is achieved by electron detection and the temporal resolution by a variable phase delay, this technique does not require scanning the pump frequency and the entanglement times, which significantly simplifies the experimental setup, making it feasible with current instrumentation. Application is made to the photodissociation dynamics of pyrrole calculated by exact nonadiabatic wave packet simulations in a reduced two nuclear coordinate space. This study demonstrates the unique advantages of ultrafast quantum light spectroscopy.
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Affiliation(s)
- Bing Gu
- Department of Chemistry, School of Science, Westlake University, Hangzhou, Zhejiang310030, China
- Institute of Natural Sciences, Westlake Institute for Advanced Study, Hangzhou, Zhejiang310024, China
| | - Shichao Sun
- Department of Chemistry, University of California, Irvine, CA92697
- Department of Physics and Astronomy, University of California, Irvine, CA92697
| | - Feng Chen
- Department of Chemistry, University of California, Irvine, CA92697
- Department of Physics and Astronomy, University of California, Irvine, CA92697
| | - Shaul Mukamel
- Department of Chemistry, University of California, Irvine, CA92697
- Department of Physics and Astronomy, University of California, Irvine, CA92697
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Panahiyan S, Muñoz CS, Chekhova MV, Schlawin F. Nonlinear Interferometry for Quantum-Enhanced Measurements of Multiphoton Absorption. PHYSICAL REVIEW LETTERS 2023; 130:203604. [PMID: 37267533 DOI: 10.1103/physrevlett.130.203604] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/06/2022] [Revised: 03/30/2023] [Accepted: 04/25/2023] [Indexed: 06/04/2023]
Abstract
Multiphoton absorption is of vital importance in many spectroscopic, microscopic, or lithographic applications. However, given that it is an inherently weak process, the detection of multiphoton absorption signals typically requires large field intensities, hindering its applicability in many practical situations. In this Letter, we show that placing a multiphoton absorbent inside an imbalanced nonlinear interferometer can enhance the precision of multiphoton cross section estimation with respect to strategies based on photon-number measurements using coherent or even squeezed light directly transmitted through the medium. In particular, the power scaling of the sensitivity with photon flux can be increased by 1 order compared with transmission measurements of the sample with coherent light, such that the measurement precision at any given intensity can be greatly enhanced. Furthermore, we show that this enhanced measurement precision is robust against experimental imperfections leading to photon losses, which usually tend to degrade the detection sensitivity. We trace the origin of this enhancement to an optimal degree of squeezing which has to be generated in a nonlinear SU(1,1) interferometer.
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Affiliation(s)
- Shahram Panahiyan
- Max Planck Institute for the Structure and Dynamics of Matter, Luruper Chaussee 149, 22761 Hamburg, Germany
- The Hamburg Centre for Ultrafast Imaging, Luruper Chaussee 149, Hamburg D-22761, Germany
- University of Hamburg, Luruper Chaussee 149, 22761 Hamburg, Germany
| | - Carlos Sánchez Muñoz
- Departamento de Física Teórica de la Materia Condensada and Condensed Matter Physics Center (IFIMAC), Universidad Autónoma de Madrid, 28049 Madrid, Spain
| | - Maria V Chekhova
- Max-Planck Institute for the Science of Light, Staudtstraße 2, Erlangen D-91058, Germany
- University of Erlangen-Nuremberg, Staudtstraße 7/B2, Erlangen D-91058, Germany
| | - Frank Schlawin
- Max Planck Institute for the Structure and Dynamics of Matter, Luruper Chaussee 149, 22761 Hamburg, Germany
- The Hamburg Centre for Ultrafast Imaging, Luruper Chaussee 149, Hamburg D-22761, Germany
- University of Hamburg, Luruper Chaussee 149, 22761 Hamburg, Germany
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Marcus AH, Raymer MG. JCP special topic on quantum light in physical chemistry and molecular spectroscopy. J Chem Phys 2022; 157:150401. [PMID: 36272790 DOI: 10.1063/5.0127099] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Andrew H Marcus
- Department of Chemistry and Biochemistry, Oregon Center for Optical, Molecular and Quantum Science, University of Oregon, Eugene, Oregon 97403, USA
| | - Michael G Raymer
- Department of Physics, Oregon Center for Optical, Molecular and Quantum Science, University of Oregon, Eugene, Oregon 97403, USA
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Asban S, Keefer D, Chernyak VY, Mukamel S. Sensing ultrashort electronic coherent beating at conical intersections by single-electron pulses. Proc Natl Acad Sci U S A 2022; 119:e2205510119. [PMID: 35609200 PMCID: PMC9295798 DOI: 10.1073/pnas.2205510119] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/29/2022] [Accepted: 04/19/2022] [Indexed: 11/18/2022] Open
Abstract
SignificanceIn a theoretical study, we present an ultrafast technique for probing time-dependent molecular charge densities. An ultrafast optical pump first brings the molecule into an electronic nonstationary state. This is followed by coherent inelastic scattering of a broadband single-electron probe pulse with a variable delay T, which is detected spectrally. The technique is applied to reveal phase-sensitive background-free coherent electron beating in the conical intersection passage in uracil and reveals the otherwise elusive coherent beating of strongly coupled electrons and nuclei.
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Affiliation(s)
- Shahaf Asban
- Department of Chemistry, University of California, Irvine, CA 92697-2025
- Department of Physics & Astronomy, University of California, Irvine, CA 92697-2025
| | - Daniel Keefer
- Department of Chemistry, University of California, Irvine, CA 92697-2025
- Department of Physics & Astronomy, University of California, Irvine, CA 92697-2025
| | - Vladimir Y. Chernyak
- Department of Chemistry, Wayne State University, Detroit, MI 48202
- Department of Mathematics, Wayne State University, Detroit, MI 48202
| | - Shaul Mukamel
- Department of Chemistry, University of California, Irvine, CA 92697-2025
- Department of Physics & Astronomy, University of California, Irvine, CA 92697-2025
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Asban S, Chernyak VY, Mukamel S. Nonlinear quantum interferometric spectroscopy with entangled photon pairs. J Chem Phys 2022; 156:094202. [DOI: 10.1063/5.0079049] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Affiliation(s)
- Shahaf Asban
- University of California Irvine Department of Chemistry, United States of America
| | | | - Shaul Mukamel
- Department of Chemistry, University of California Irvine Department of Chemistry, United States of America
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Asban S, Mukamel S. Distinguishability and "which pathway" information in multidimensional interferometric spectroscopy with a single entangled photon-pair. SCIENCE ADVANCES 2021; 7:eabj4566. [PMID: 34550740 PMCID: PMC8457662 DOI: 10.1126/sciadv.abj4566] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/13/2021] [Accepted: 08/02/2021] [Indexed: 06/04/2023]
Abstract
Correlated photons inspire abundance of metrology-related platforms, which benefit from quantum (anti-) correlations and outperform their classical counterparts. While these mainly focus on entanglement, the role of photon exchange phase and degree of distinguishability has not been widely used in quantum applications. Using an interferometric setup, we theoretically show that, when a two-photon wave function is coupled to matter, it is encoded with “which pathway?” information even at low-degree of entanglement. An interferometric protocol, which enables phase-sensitive discrimination between microscopic interaction histories (pathways), is developed. We find that quantum light interferometry facilitates utterly different set of time delay variables, which are unbound by uncertainty to the inverse bandwidth of the wave packet. We illustrate our findings on an exciton model system and demonstrate how to probe intraband dephasing in the time domain without temporally resolved detection. The unusual scaling of multiphoton coincidence signals with the applied pump intensity is discussed.
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