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The transition probability for time-dependent unitary evolution is invariant under the reversal of protocols just as in the classical Liouvillian dynamics. In this article, we generalize the expression of microscopic reversibility to…

Statistical Mechanics · Physics 2015-05-28 Takaaki Monnai

It has been recently proved that a quantum jump may be reversed by a unitary process provided the initial state is restricted by some conditions. The application of such processes for preventing decoherence, for example in quantum…

Quantum Physics · Physics 2009-11-06 Michael B. Mensky

In the quantum theory, it has been shown that one can see if a process has the time reversal symmetry by applying the matrix transposition and examining if it remains physical. However, recent discoveries regarding the indefinite causal…

Quantum Physics · Physics 2023-06-29 Seok Hyung Lie , M. S. Kim

The discussion on time-reversal in quantum mechanics exists at least since Wigner's ``Uber die Operation der Zeitumkehr in der Quantenmechanik'' paper in 1932. If and how the dynamics of the quantum world is time-reversible has been the…

Quantum Physics · Physics 2007-05-23 Tim Jacobs , Christian Maes

Distance to Uncontrollability is a crucial concept in classical control theory. Here, we introduce Quantum Distance to Uncontrollability as a measure how close a universal quantum system is to a non-universal one. This allows us to provide…

Quantum Physics · Physics 2022-04-06 Daniel Burgarth , Jeff Borggaard , Zoltán Zimborás

Quantum diffusion, as developed in the 1990s, could explain how a system, subject to measurement, goes into an eigenstate of the measured observable. Here it is shown that quantum diffusion theory can be interpreted as a result within…

Quantum Physics · Physics 2022-03-02 Karl-Erik Eriksson

We investigate the statistical arrow of time for a quantum system being monitored by a sequence of measurements. For a continuous qubit measurement example, we demonstrate that time-reversed evolution is always physically possible, provided…

Quantum Physics · Physics 2017-12-06 Justin Dressel , Areeya Chantasri , Andrew N. Jordan , Alexander N. Korotkov

We argue that it is fundamentally impossible to recover information about quantum superpositions when a system has interacted with a sufficiently large number of degrees of freedom of the environment. This is due to the fact that gravity…

Quantum Physics · Physics 2010-01-07 Rodolfo Gambini , Luis Pedro Garcia Pintos , Jorge Pullin

We study the time it takes for all states of a finite quantum system to return simultaneously to their original configuration. In particular, we define the recurrence time for a quantum system to be the time at which all time-evolved states…

Quantum Physics · Physics 2026-04-29 Chaitanya Gupta , Anthony J. Short

For a periodically shaken optical lattice, effective time-reversal is investigated numerically. For interacting ultra-cold atoms, the scheme of [J. Phys. B 45, 021002 (2012)] involves a quasi-instantaneous change of both the…

Quantum Gases · Physics 2013-04-04 Christoph Weiss

Over the past several decades, a rich series of experiments has repeatedly verified the quantum nature of superconducting devices, leading some of these systems to be regarded as artificial atoms. In addition to their application in quantum…

Quantum Physics · Physics 2015-07-07 Frederico Brito , Francisco Rouxinol , M. D. LaHaye , Amir O. Caldeira

The reverse quantum speed limit (RQSL) gives an upper limit to the time for evolution between initial and final quantum states. We show that, in conjunction with the existence of a minimum time scale, the RQSL implies a lower limit to the…

Quantum Physics · Physics 2022-03-29 Mark A. Rubin

It is a remarkable fact that all processes occurring in the observable Universe are irreversible, whereas the equations through which the fundamental laws of physics are formulated are invariant under time reversal. The emergence of…

General Physics · Physics 2015-05-28 Gustavo E. Romero , Daniela Pérez

Quantum fluctuations, through quantum corrections, have the potential to lead to irreversibility in quantum field theory. We consider the virtual ``charge" distribution generated by quantum corrections in the leading log, short range…

High Energy Physics - Theory · Physics 2007-05-23 J. Perez-Mercader

We study the time-reversal dynamics of a tight-binding electron in the Watts-Strogatz (WS) small-world networks. The localized initial wave packet at time $t=0$ diffuses as time proceeds until the time-reversal operation, together with the…

Statistical Mechanics · Physics 2012-09-13 Sung-Guk Han , Beom Jun Kim

We introduce a novel time-energy uncertainty relation within the context of restarts in monitored quantum dynamics. Initially, we investigate the concept of ``first hitting time'' in quantum systems using an IBM quantum computer and a…

Statistical Mechanics · Physics 2025-01-07 Ruoyu Yin , Qingyuan Wang , Sabine Tornow , Eli Barkai

We show that in a quantum system evolving unitarily under a stochastic quantum circuit the notions of irreversibility, universality of computation, and entanglement are closely related. As the state evolves from an initial product state, it…

Quantum Physics · Physics 2014-12-15 Daniel Shaffer , Claudio Chamon , Alioscia Hamma , Eduardo R. Mucciolo

Quantum mechanics still provides new unexpected effects when considering the transport of energy and information. Models of continuous time quantum walks, which implicitly use time-reversal symmetric Hamiltonians, have been intensely used…

Quantum Physics · Physics 2013-08-23 Zoltan Zimboras , Mauro Faccin , Zoltan Kadar , James Whitfield , Ben Lanyon , Jacob Biamonte

The bulk conductivity of a two-dimensional system is studied assuming that quantum interference effects break time-reversal symmetry in the presence of strong spin-orbit interaction and strong lattice potential. The study is carried out by…

Quantum Physics · Physics 2021-07-01 Kevin Jimenez , Jose Reslen

This article traces the development of fluctuation theory and its deep connection to irreversibility, from equilibrium to near-equilibrium, and finally to far-from-equilibrium systems. Classical fluctuation theorems, which capture the…

Quantum Physics · Physics 2025-12-30 Sounak Bandyopadhyay , Arnab Ghosh