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Breakdown of time-reversal symmetry is a defining property of non-equilibrium systems, such as active matter, which is composed of units that consume energy. We employ a formalism that allows us to derive a class of identities associated…

Statistical Mechanics · Physics 2025-09-26 Martin Kjøllesdal Johnsrud , Ramin Golestanian

We consider theoretically a driven-dissipative quantum many-body system consisting of an atomic ensemble in a single-mode optical cavity as described by the open Tavis-Cummings model. In this hybrid light-matter system the interplay between…

We develop a microscopic theory for biasing the quantum trajectories of an open quantum system, which renders rare trajectories typical. To this end we consider a discrete-time quantum dynamics, where the open system collides sequentially…

In recent reports, suggestions have been put forward to the effect that parity and time-reversal (PT) symmetry in quantum mechanics is incompatible with causality. It is shown here, in contrast, that PT-symmetric quantum mechanics is fully…

Quantum Physics · Physics 2016-04-07 Dorje C. Brody

In this reply, we resolve the apparent discrepancy raised in the "Comment on Inferring broken detailed balance in the absence of observable currents" [arXiv:2112.08978v1]. We stress that the non-instantaneous transition paths originate from…

Statistical Mechanics · Physics 2022-02-07 Gili Bisker , Ignacio A. Martinez , Jordan M. Horowitz , Juan MR Parrondo

The analysis of symmetry in quantum systems is of utmost theoretical importance, useful in a variety of applications and experimental settings, and is difficult to accomplish in general. Symmetries imply conservation laws, which partition…

Quantum Physics · Physics 2023-10-20 Caleb Rotello , Eric B. Jones , Peter Graf , Eliot Kapit

Protecting information against decoherence in open quantum systems remains a central challenge for quantum computing. In particular, passive error correction schemes have so far been limited to static memories rather than dynamical qubits.…

Quantum Physics · Physics 2026-02-25 Mert Esencan , A. I. Lvovsky , Berislav Buča

We introduce a driven-dissipative Bose-Hubbard chain describing coupled lossy photonic modes, in which time-reversal symmetry is broken by a coherent drive with a uniform phase gradient. We investigate this model by means of a Gaussian…

Quantum Physics · Physics 2024-11-15 Laszlo Rassaert , Tomás Ramos , Tommaso Roscilde , Diego Porras

The exotic phenomenon of time translation symmetry breaking under periodic driving - the time crystal - has been shown to occur in many-body systems even in clean setups where disorder is absent. In this work, we propose the realization of…

Quantum Physics · Physics 2019-04-17 R. E. Barfknecht , S. E. Rasmussen , A. Foerster , N. T. Zinner

Time-reversibility measured by the deviation of the perturbed time-reversed motion from the unperturbed one is examined for normal quantum diffusion exhibited by four classes of quantum maps with contrastive physical nature. Irrespective of…

Disordered Systems and Neural Networks · Physics 2015-05-19 Hiroaki S. Yamada , Kensuke S. Ikeda

Reversal of the time direction in stochastic systems driven by white noise has been central throughout the development of stochastic realization theory, filtering and smoothing. Similar ideas were developed in connection with certain…

Systems and Control · Computer Science 2013-09-03 Tryphon T. Georgiou , Anders Lindquist

Parametric correlations of energy spectra of quantum chaotic systems are presented in the orthogonal-unitary and symplectic-unitary crossover region. The spectra are allowed to disperse as a function of two external perturbations: one of…

Condensed Matter · Physics 2009-10-22 N. Taniguchi , A. Hashimoto , B. D. Simons , B. L. Altshuler

We introduce the notion of time reversal in open quantum systems as represented by linear quantum operations, and a related generalization of classical entropy production in the environment. This functional is the ratio of the probability…

Quantum Physics · Physics 2016-07-26 Erik Aurell , Jakub Zakrzewski , Karol Życzkowski

We analyze general enough models of repeated indirect measurements in which a quantum system interacts repeatedly with randomly chosen probes on which Von Neumann direct measurements are performed. We prove, under suitable hypotheses, that…

Mathematical Physics · Physics 2015-06-05 Michel Bauer , Tristan Benoist , Denis Bernard

The utilization of time reversal symmetry in designing and implementing (quantum) optical experiments has become more and more frequent over the past years. We review the basic idea underlying time reversal methods, illustrate it with…

Optics · Physics 2012-05-08 Gerd Leuchs , Markus Sondermann

It has often been suggested that retrocausality offers a solution to some of the puzzles of quantum mechanics: e.g., that it allows a Lorentz-invariant explanation of Bell correlations, and other manifestations of quantum nonlocality,…

Quantum Physics · Physics 2012-06-19 Huw Price

In light of the dynamical-systems approach to entropy production in repeated quantum measurements, proposed and illustrated in Commun. Math. Phys. 357, 77-123 (2018) [arXiv:1607.00162] and J. Stat. Phys. 182, 44 (2021) [arXiv:2012.03885],…

Quantum Physics · Physics 2025-11-04 Tristan Benoist , Noé Cuneo , Vojkan Jakšić , Claude-Alain Pillet

A discrete time crystal (DTC) is the paradigmatic example of a phase of matter that occurs exclusively in systems out of equilibrium. This phenomenon is characterized by the spontaneous symmetry breaking of discrete time-translation and…

On this paper, we have proposed an approach to observe the time-centered difference scheme for dissipative mechanical systems from a Hamiltonian perspective and to introduce the idea of symplectic algorithm to dissipative systems. The…

Mathematical Physics · Physics 2010-08-06 Tianshu Luo , Yimu Guo

We propose a time-delayed feedback control scheme for open quantum systems that can dramatically reduce the time to reach steady state. No measurement is performed in the feedback loop, and we suggest a simple all-optical implementation for…

Quantum Physics · Physics 2014-08-27 A L Grimsmo , A S Parkins , B-S Skagerstam