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With a choice of boundary conditions for solutions of the Schr\"odinger equation, state vectors and density operators even for closed systems evolve asymmetrically in time. For open systems, standard quantum mechanics consequently predicts…

Quantum Physics · Physics 2010-05-25 P. W. Bryant

Inspired by the Hayden-Preskill protocol for black hole evaporation, we consider the dynamics of a quantum many-body qudit system coupled to an external environment, where the time evolution is driven by the continuous limit of certain…

High Energy Physics - Theory · Physics 2020-04-14 Lorenzo Piroli , Christoph Sünderhauf , Xiao-Liang Qi

Time reversal in a macroscopic system is contradicting daily experience. It is practically impossible to restore a shattered cup to its original state by just time reversing the microscopic dynamics that led to its breakage. Yet, with the…

Driven-dissipative quantum systems generically do not satisfy simple notions of detailed balance based on the time symmetry of correlation functions. We show that such systems can nonetheless exhibit a hidden time-reversal symmetry which…

Quantum Physics · Physics 2021-06-16 David Roberts , Andrew Lingenfelter , Aashish Clerk

Traditional spectroscopy, by its very nature, characterizes properties of physical systems in the momentum and frequency domains. The most interesting and potentially practically useful quantum many-body effects however emerge from the deep…

Strongly Correlated Electrons · Physics 2022-10-10 Allen Scheie , Pontus Laurell , Bella Lake , Stephen E. Nagler , Matthew B. Stone , Jean-Sebastian Caux , D. Alan Tennant

The incoherent dynamical properties of open quantum systems are generically attributed to an ongoing correlation between the system and its environment. Here, we propose a novel way to assess the nature of these system-environment…

Quantum Physics · Physics 2018-01-23 Hong-Bin Chen , Clemens Gneiting , Ping-Yuan Lo , Yueh-Nan Chen , Franco Nori

We discuss the locality problem in relativistic and nonrelativistic quantum theory. We show that there exists a formulation of quantum theory that, on one hand, preserves the mathematical apparatus of the standard quantum mechanics and, on…

Quantum Physics · Physics 2009-03-25 D. A. Slavnov

The characterizing feature of a many-body localized phase is the existence of an extensive set of quasi-local conserved quantities with an exponentially localized support. This structure endows the system with the signature logarithmic in…

Quantum Physics · Physics 2020-04-08 Fabio Anza , Francesca Pietracaprina , John Goold

Existing approaches to analogue quantum simulations of time-dependent quantum systems rely on perturbative corrections to quantum simulations of time-independent quantum systems. We overcome this restriction to perturbative treatments with…

Quantum Physics · Physics 2024-02-13 Boyuan Shi , Florian Mintert

We develop the continuum mechanics of quantum many-body systems in the linear response regime. The basic variable of the theory is the displacement field, for which we derive a closed equation of motion under the assumption that the…

Strongly Correlated Electrons · Physics 2015-05-13 Jianmin Tao , Xianlong Gao , G. Vignale , I. V. Tokatly

We argue that (1) our perception of time through change and (2) the gap between reality and our observation of it are at the heart of both quantum mechanics and the dynamical mechanism of physical systems. We suggest that the origin of…

General Physics · Physics 2014-07-15 Michael York

Closed quantum systems with quenched randomness exhibit many-body localized regimes wherein they do not equilibrate even though prepared with macroscopic amounts of energy above their ground states. We show that such localized systems can…

Statistical Mechanics · Physics 2013-10-24 David A. Huse , Rahul Nandkishore , Vadim Oganesyan , Arijeet Pal , S. L. Sondhi

Effective quantum cosmology is formulated with a realistic global internal time given by the electric vector potential. New possibilities for the quantum behavior of space-time are found, and the high-density regime is shown to be very…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Stephon Alexander , Martin Bojowald , Antonino Marciano , David Simpson

We analyse quasi-periodically driven quantum systems that can be mapped exactly to periodically driven ones and find Floquet Time Spirals in analogy with spatially incommensurate spiral magnetic states. Generalising the mechanism to…

Disordered Systems and Neural Networks · Physics 2019-10-09 Hongzheng Zhao , Florian Mintert , Johannes Knolle

We show that several well-known one-dimensional quantum systems possess a hidden nonlocal supersymmetry. The simplest example is the open XXZ spin chain with \Delta=-1/2. We use the supersymmetry to place lower bounds on the ground state…

Strongly Correlated Electrons · Physics 2009-11-10 Xiao Yang , Paul Fendley

We demonstrate that, in a many-particle system, particles can be strongly confined to their sites. The localization is obtained by constructing a sequence of on-site energies that efficiently suppresses resonant hopping. The time during…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. I. Dykman , F. M. Izrailev , L. F. Santos , M. Shapiro

Even though the evolution of an isolated quantum system is unitary, the complexity of interacting many-body systems prevents the observation of recurrences of quantum states for all but the smallest systems. For large systems one can not…

The thermal or equilibrium ensemble is one of the most ubiquitous states of matter. For models comprised of many locally interacting quantum particles, it describes a wide range of physical situations, relevant to condensed matter physics,…

Quantum Physics · Physics 2023-12-06 Álvaro M. Alhambra

Irreversibility, despite being a necessary condition for thermalization, still lacks a sound understanding in the context of isolated quantum many-body systems. In this work we approach this question by studying the behavior of generic…

Statistical Mechanics · Physics 2018-11-14 Markus Schmitt , Stefan Kehrein

In a recent letter [Europhys. Lett. 95, 13001 (2011)] the question of whether the density of a time-dependent quantum system determines its external potential was reformulated as a fixed point problem. This idea was used to generalize the…

Quantum Physics · Physics 2013-08-05 M. Ruggenthaler , K. J. H Giesbertz , M. Penz , R. van Leeuwen
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