Reversible to irreversible transitions in periodic driven many-body systems and future directions for classical and quantum systems

Reichhardt, C.; Regev, Ido; Dahmen, K.; Okuma, S.; Reichhardt, C. J. O.

doi:10.1103/PhysRevResearch.5.021001

Title: Reversible to irreversible transitions in periodic driven many-body systems and future directions for classical and quantum systems

Journal Article · Thu May 11 00:00:00 EDT 2023 · Physical Review Research

DOI:https://doi.org/10.1103/PhysRevResearch.5.021001· OSTI ID:1973273

Reichhardt, C.; Regev, Ido; Dahmen, K.;

;

Reversible to irreversible (R-IR) transitions arise in numerous periodically driven collectively interacting systems that, after a certain number of driving cycles, organize into a reversible state where the particle trajectories repeat during every or every few cycles. On the irreversible side of the transition, the motion is chaotic. R-IR transitions were first systematically studied for periodically sheared dilute colloids, and have now been found in a wide variety of both soft and hard matter periodically driven systems, including amorphous solids, crystals, vortices in type-II superconductors, and magnetic textures. It has been shown that in several of these systems, the transition to a reversible state is an absorbing phase transition with a critical divergence in the organization timescale at the transition. The same systems are capable of storing multiple memories and may exhibit return point memory. We give an overview of R-IR transitions including recent advances in the field and discuss how the general framework of R-IR transitions could be applied to a much broader class of nonequilibrium systems in which periodic driving occurs, including not only soft and hard condensed matter systems, but also astrophysics, biological systems, and social systems. In particular, some likely candidate systems are commensurate-incommensurate states, systems exhibiting hysteresis or avalanches, nonequilibrium pattern forming states, and other systems with absorbing phase transitions. Periodic driving could be applied to hard condensed matter systems to see if organization into reversible states occurs for metal-insulator transitions, semiconductors, electron glasses, electron nematics, cold atom systems, or Bose-Einstein condensates. R-IR transitions could also be examined in dynamical systems where synchronization or phase locking occurs. We also discuss the possibility of using complex periodic driving, such as changing drive directions or using multiple frequencies, to determine whether these systems can still organize to reversible states or retain complex multiple memories. Finally, we describe features of classical and quantum time crystals that could suggest the occurrence of R-IR transitions in these systems.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA); USDOE Laboratory Directed Research and Development (LDRD) Program; Israel Science Foundation; National Science Foundation (NSF)

Grant/Contract Number:: AC52-06NA25396; 89233218CNA000001; 1301/17; IIS-2123781

OSTI ID:: 1973273

Alternate ID(s):: OSTI ID: 1975038

Report Number(s):: LA-UR-22-31797; PPRHAI; 021001

Journal Information:: Physical Review Research, Journal Name: Physical Review Research Vol. 5 Journal Issue: 2; ISSN 2643-1564

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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charge density waves
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