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

Abstract

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, systemsmore » 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.« less

Authors:
; ; ; ORCiD logo; ORCiD logo
Publication Date:
Research Org.:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA); USDOE Laboratory Directed Research and Development (LDRD) Program; Israel Science Foundation; National Science Foundation (NSF)
OSTI Identifier:
1973273
Alternate Identifier(s):
OSTI ID: 1975038
Report Number(s):
LA-UR-22-31797
Journal ID: ISSN 2643-1564; PPRHAI; 021001
Grant/Contract Number:  
AC52-06NA25396; 89233218CNA000001; 1301/17; IIS-2123781
Resource Type:
Published Article
Journal Name:
Physical Review Research
Additional Journal Information:
Journal Name: Physical Review Research Journal Volume: 5 Journal Issue: 2; Journal ID: ISSN 2643-1564
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; charge density waves; jamming; metal-insulator transition; plastic deformation; shear flows; Skyrmions; time crystals; vortices in superconductors; amorphous materials; colloids; dusty or complex plasma; Neutron stars and pulsars

Citation Formats

Reichhardt, C., Regev, Ido, Dahmen, K., Okuma, S., and Reichhardt, C. J. O. Reversible to irreversible transitions in periodic driven many-body systems and future directions for classical and quantum systems. United States: N. p., 2023. Web. doi:10.1103/PhysRevResearch.5.021001.
Reichhardt, C., Regev, Ido, Dahmen, K., Okuma, S., & Reichhardt, C. J. O. Reversible to irreversible transitions in periodic driven many-body systems and future directions for classical and quantum systems. United States. https://doi.org/10.1103/PhysRevResearch.5.021001
Reichhardt, C., Regev, Ido, Dahmen, K., Okuma, S., and Reichhardt, C. J. O. Thu . "Reversible to irreversible transitions in periodic driven many-body systems and future directions for classical and quantum systems". United States. https://doi.org/10.1103/PhysRevResearch.5.021001.
@article{osti_1973273,
title = {Reversible to irreversible transitions in periodic driven many-body systems and future directions for classical and quantum systems},
author = {Reichhardt, C. and Regev, Ido and Dahmen, K. and Okuma, S. and Reichhardt, C. J. O.},
abstractNote = {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.},
doi = {10.1103/PhysRevResearch.5.021001},
journal = {Physical Review Research},
number = 2,
volume = 5,
place = {United States},
year = {Thu May 11 00:00:00 EDT 2023},
month = {Thu May 11 00:00:00 EDT 2023}
}

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Nonlinear dynamics of the Frenkel–Kontorova model
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Precisely cyclic sand: Self-organization of periodically sheared frictional grains
journal, December 2014

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Pairing states of superfluid He 3 in uniaxially anisotropic aerogel
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Absorbing State Phase Transition with Competing Quantum and Classical Fluctuations
journal, June 2016


Liquid-crystal phases of quantum Hall systems
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Sharp symmetry-change marks the mechanical failure transition of glasses
journal, September 2015

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Journey of an intruder through the fluidization and jamming transitions of a dense granular media
journal, January 2010


Local density fluctuations, hyperuniformity, and order metrics
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Dynamic Phases, Pinning and Pattern Formation for Driven Dislocation Assemblies
journal, January 2015

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Phase-locking and environmental fluctuations generate synchrony in a predator–prey community
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Chaos in the Solar System
journal, September 2001

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Is Navier–Stokes turbulence chaotic?
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Particle-scale reversibility in athermal particulate media below jamming
journal, November 2013


Experimental signatures of a nonequilibrium phase transition governing the yielding of a soft glass
journal, June 2014


A study of 315 glitches in the rotation of 102 pulsars: A study of 315 glitches in 102 pulsars
journal, April 2011


Nonanalytic Behavior Above the Critical Point in a Random Ising Ferromagnet
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Optical manipulation of single flux quanta
journal, September 2016

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Avalanche Statistics Identify Intrinsic Stellar Processes near Criticality in KIC 8462852
journal, December 2016


Direct Observation of Vortex Dynamics in Superconducting Films with Regular Arrays of Defects
journal, November 1996


Insulating phases of two-dimensional electrons in high Landau levels: Observation of sharp thresholds to conduction
journal, October 1999


Hyperuniformity of Critical Absorbing States
journal, March 2015


Plastic deformation in metallic glasses
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Experimental realization of directed percolation criticality in turbulent liquid crystals
journal, November 2009


Synchronization of complex human networks
journal, August 2020


Observation of a discrete time crystal
journal, March 2017

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Velocity Anomaly of a Driven Tracer in a Confined Crowded Environment
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Charged Particles on a Two-Dimensional Lattice Subject to Anisotropic Jahn-Teller Interactions
journal, April 2005


Discontinuous fluidization transition in time-correlated assemblies of actively deforming particles
journal, November 2017