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Related papers: Quantum Reversibility: Is there an Echo?

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Irreversibility is one of the most intriguing concepts in physics. While microscopic physical laws are perfectly reversible, macroscopic average behavior has a preferred direction of time. According to the second law of thermodynamics, this…

Quantum Physics · Physics 2017-04-12 T. B. Batalhao , A. M. Souza , R. S. Sarthour , I. S. Oliveira , M. Paternostro , E. Lutz , R. M. Serra

We consider a very general class of theories, process theories, which capture the underlying structure common to most theories of physics as we understand them today (be they established, toy or speculative theories). Amongst these…

Quantum Physics · Physics 2017-12-07 Bob Coecke , Stefano Gogioso , John H. Selby

While the microscopic laws of physics are often symmetric under time reversal, most natural processes that we observe are not. The emergent asymmetry between typical and time-reversed processes is referred to as the arrow of time. In…

Quantum Physics · Physics 2025-12-23 Luis Pedro García-Pintos , Yi-Kai Liu , Alexey V. Gorshkov

The Quantum Loschmidt Echo is a measurement of the sensitivity of a quantum system to perturbations of the Hamiltonian. In the case of the standard 2-torus, we derive some explicit formulae for this quantity in the transition regime where…

Mathematical Physics · Physics 2017-11-27 Gabriel Rivière , Henrik Ueberschaer

We investigate the sensitivity of nonintegrable large-spin quantum lattices to small perturbations with a particular focus on the time reversal experiments known in statistical physics as "Loschmidt echoes" and in nuclear magnetic resonance…

Statistical Mechanics · Physics 2015-10-28 Tarek A. Elsayed , Boris V. Fine

We employ the Loschmidt Echo, i.e. the signal recovered after the reversal of an evolution, to identify and quantify the processes contributing to decoherence. This procedure, which has been extensively used in single particle physics, is…

Quantum Physics · Physics 2012-07-25 Pablo R. Zangara , Axel D. Dente , Patricia R. Levstein , Horacio M. Pastawski

Insofar as quantum computation is faster than classical, it appears to be irreversible. In all quantum algorithms found so far the speed-up depends on the extra-dynamical irreversible projection representing quantum measurement. Quantum…

Quantum Physics · Physics 2009-11-06 Giuseppe Castagnoli , David Ritz Finkelstein

The ESR model has been recently proposed in several papers to offer a possible solution of the problems raising from the nonobjectivity of physical properties in quantum mechanics (QM) (mainly the objectification problem of the quantum…

Quantum Physics · Physics 2021-12-14 Claudio Garola , Sandro Sozzo , Junde Wu

We report on the use of the dCRAB optimal control algorithm to realize time-reversal procedures for the implementation of quantum undo operations, to be applied in quantum technology contexts ranging from quantum computing to quantum…

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

Nearly all the evolution equations of physics are time-reversible, in the sense that a movie of the solution, played backwards, would obey exactly the same differential equations as the original forward solution. By way of contrast,…

Discrete Mathematics · Computer Science 2013-05-21 Wm. G. Hoover , Carol G. Hoover

In their recent paper "Is a Time Symmetric Interpretation of Quantum Theory Possible Without Retrocausality?", Matthew Leifer and Matthew Pusey argue that the answer to their title question is "no". Unfortunately, the central proof offered…

Quantum Physics · Physics 2017-07-28 Tim Maudlin

Loschmidt echo (LE) is a measure of reversibility and sensitivity to perturbations of quantum evolutions. For weak perturbations its decay rate is given by the width of the local density of states (LDOS). When the perturbation is strong…

Quantum Physics · Physics 2013-05-29 Natalia Ares , Diego A. Wisniacki

In quantum mechanics, time is introduced as a non-measurable quantity, as there is no possibility to build a hermitian operator canonically conjugated to the Hamiltonian. We cannot have, therefore, the time operator, which means that the…

Quantum Physics · Physics 2020-03-27 Andrzej Góźdź , Marek Góźdź

The time evolution of the universe is usually mathematically described under a continuous time and thus time reversible. Here, the consequences of studying the evolution of a homogenous isotropic universe by time continuous reversible…

General Physics · Physics 2019-10-23 Roland Riek

Quantum backflow is usually understood as a quantum interference phenomenon where probability current of a quantum particle points in the opposite direction to particle's momentum. Here, we quantify the amount of quantum backflow for…

Quantum Physics · Physics 2021-01-13 Marek Miller , Woo Chee Yuan , Rainer Dumke , Tomasz Paterek

The conventional explanation of delayed-choice experiments appears to violate our causal intuition at the quantum level. I reanalyze these experiments using time-reversed and time-symmetric formulations of quantum mechanics. The…

Quantum Physics · Physics 2021-01-01 Michael B. Heaney

In this paper we perform an exact study of ``Quantum Fidelity'' (also called Loschmidt Echo) for the time-periodic quantum Harmonic Oscillator of Hamiltonian : $$ \hat H\_{g}(t):=\frac{P^2}{2}+ f(t)\frac{Q^2}{2}+\frac{g^2}{Q^2} $$ when…

Mathematical Physics · Physics 2007-05-23 M. Combescure

The principle of microscopic reversibility is a fundamental element in the formulation of fluctuation relations and the Onsager reciprocal relations. As such, a clear description of whether and how this principle is adapted to the quantum…

Quantum Physics · Physics 2023-10-25 K. Khan , W. F. Magalhaes , Jailson S. Araujo , B. de Lima Bernardo , Gabriel H. Aguilar

The quantum mechanical time-evolution is studied for a particle under the influence of an explicitly time-dependent rotating potential. We discuss the existence of the propagator and we show that in the limit of rapid rotation it converges…

Mathematical Physics · Physics 2007-05-23 Volker Enss , Vadim Kostrykin , Robert Schrader
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