Emulating interacting waveguide quantum electrodynamics with wire metamaterials

Abstract Arrays of atoms coupled to photons, propagating in a waveguide, are now actively studied due to their prospects for generation and detection of quantum light. Quantum simulators based on waveguides with long-range couplings were also predicted to manifest unusual many-body quantum states. However, quantum tomography for large arrays with N > 20 atoms remains elusive since it requires independent access to every atom. Here, we present a novel concept for analogue quantum simulations by mapping the setup of waveguide quantum electrodynamics to the classical problem of an electromagnetic wave, propagating in a wire metamaterial. By experimentally measuring the near electromagnetic field we emulate the localization arising from polariton-polariton interactions in the quantum problem. Our results demonstrate the potential of wire metamaterials to visualize quantum light-matter coupling in a table-top experiment and may be applied to emulate other exotic quantum effects, such as quantum chaos, and self-induced topological states.

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Quantum chaos challenges many-body localization

Physical Review E ◽

10.1103/physreve.102.062144 ◽

2020 ◽

Vol 102 (6) ◽

Cited By ~ 1

Author(s):

Jan Šuntajs ◽

Janez Bonča ◽

Tomaž Prosen ◽

Lev Vidmar

Keyword(s):

Quantum Chaos ◽

Many Body

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Critical slowing down in circuit quantum electrodynamics

Science Advances ◽

10.1126/sciadv.abe9492 ◽

2021 ◽

Vol 7 (21) ◽

pp. eabe9492

Author(s):

Paul Brookes ◽

Giovanna Tancredi ◽

Andrew D. Patterson ◽

Joseph Rahamim ◽

Martina Esposito ◽

...

Keyword(s):

Quantum Electrodynamics ◽

Quantum Circuit ◽

Critical Slowing Down ◽

Microwave Cavity ◽

Many Body ◽

Circuit Quantum Electrodynamics ◽

Slowing Down ◽

The Rich ◽

First Order Phase ◽

Shed Light

Critical slowing down of the time it takes a system to reach equilibrium is a key signature of bistability in dissipative first-order phase transitions. Understanding and characterizing this process can shed light on the underlying many-body dynamics that occur close to such a transition. Here, we explore the rich quantum activation dynamics and the appearance of critical slowing down in an engineered superconducting quantum circuit. Specifically, we investigate the intermediate bistable regime of the generalized Jaynes-Cummings Hamiltonian (GJC), realized by a circuit quantum electrodynamics (cQED) system consisting of a transmon qubit coupled to a microwave cavity. We find a previously unidentified regime of quantum activation in which the critical slowing down reaches saturation and, by comparing our experimental results with a range of models, we shed light on the fundamental role played by the qubit in this regime.

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On the Problem of Communication among Scientists: Frontiers in Physics . A lecture and reprint series. David Pines, Ed. Problems in Quantum Theory of Many Particle Systems , L. van Hove, N. M. Hugenholtz, and L. P. Howland (259 pp.); The Many-Body Problem, David Pines, Ed. (469 pp.); S-Matrix Theory of Strong Interactions, Geoffrey F. Chew (192 pp.); The Theory of Fundamental Processes, R. P. Feynmann and H. T. Yura (182 pp.); Quantum Electrodynamics, R. P. Feynmann. Notes corrected by E. R. Huggins and Y. T. Yara (208 pp.); Nuclear Magnetic Relaxation, N. Bloembergen (187 pp.); The Mössbauer Effect, Hans Frauenfelder (350 pp.). Benjamin, New York, 1962. Paper, $3.95 each.

Science ◽

10.1126/science.137.3533.846.a ◽

1962 ◽

Vol 137 (3533) ◽

pp. 846-846

Author(s):

Herman Feshbach

Keyword(s):

New York ◽

Quantum Electrodynamics ◽

Magnetic Relaxation ◽

Body Problem ◽

Matrix Theory ◽

Particle Systems ◽

Strong Interactions ◽

Many Body ◽

S Matrix ◽

The Many

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Combination of many-body perturbation theory and quantum electrodynamics

Péter R. Surján - Highlights in Theoretical Chemistry ◽

10.1007/978-3-662-49825-5_2 ◽

2015 ◽

pp. 3-7

Author(s):

Ingvar Lindgren ◽

Johan Holmberg ◽

Sten Salomonson

Keyword(s):

Perturbation Theory ◽

Quantum Electrodynamics ◽

Many Body ◽

Many Body Perturbation Theory

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On the use of many-body perturbation theory and quantum-electrodynamics in molecular electronic structure theory

Journal of Molecular Structure THEOCHEM ◽

10.1016/s0166-1280(01)00477-8 ◽

2001 ◽

Vol 547 (1-3) ◽

pp. 279-291 ◽

Cited By ~ 12

Author(s):

S. Wilson

Keyword(s):

Perturbation Theory ◽

Electronic Structure ◽

Quantum Electrodynamics ◽

Electronic Structure Theory ◽

Structure Theory ◽

Many Body ◽

Molecular Electronic ◽

Many Body Perturbation Theory ◽

Molecular Electronic Structure

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Many-body quantum chaos and dual-unitarity round-a-face

Chaos An Interdisciplinary Journal of Nonlinear Science ◽

10.1063/5.0056970 ◽

2021 ◽

Vol 31 (9) ◽

pp. 093101

Author(s):

Tomaž Prosen

Keyword(s):

Quantum Chaos ◽

Many Body

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Probing the edge between integrability and quantum chaos in interacting few-atom systems

Quantum ◽

10.22331/q-2021-06-29-486 ◽

2021 ◽

Vol 5 ◽

pp. 486

Author(s):

Thomás Fogarty ◽

Miguel Ángel García-March ◽

Lea F. Santos ◽

Nathan L. Harshman

Keyword(s):

Quantum Chaos ◽

Cold Atoms ◽

Quantum Systems ◽

Particle Interactions ◽

Body System ◽

Many Body ◽

One Dimensional ◽

The Core ◽

Emergence Of Chaos ◽

Number Of Particles

Interacting quantum systems in the chaotic domain are at the core of various ongoing studies of many-body physics, ranging from the scrambling of quantum information to the onset of thermalization. We propose a minimum model for chaos that can be experimentally realized with cold atoms trapped in one-dimensional multi-well potentials. We explore the emergence of chaos as the number of particles is increased, starting with as few as two, and as the number of wells is increased, ranging from a double well to a multi-well Kronig-Penney-like system. In this way, we illuminate the narrow boundary between integrability and chaos in a highly tunable few-body system. We show that the competition between the particle interactions and the periodic structure of the confining potential reveals subtle indications of quantum chaos for 3 particles, while for 4 particles stronger signatures are seen. The analysis is performed for bosonic particles and could also be extended to distinguishable fermions.

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Many Body Quantum Chaos

Condensed Matter ◽

10.3390/condmat5020041 ◽

2020 ◽

Vol 5 (2) ◽

pp. 41

Author(s):

Sandro Wimberger

Keyword(s):

Quantum Chaos ◽

Scientific Community ◽

Research Field ◽

Special Issue ◽

Many Body ◽

Founding Fathers

This editorial remembers Shmuel Fishman, one of the founding fathers of the research field “quantum chaos”, and puts into context his contributions to the scientific community with respect to the twelve papers that form the special issue.

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