scholarly journals Many-body quantum chaos and dual-unitarity round-a-face

2021 ◽  
Vol 31 (9) ◽  
pp. 093101
Author(s):  
Tomaž Prosen
Keyword(s):  
Quantum Chaos ◽  
Many Body

scholarly journals Quantum chaos challenges many-body localization

2020 ◽  
Vol 102 (6) ◽  
Author(s):  
Jan Šuntajs ◽  
Janez Bonča ◽  
Tomaž Prosen ◽  
Lev Vidmar
Keyword(s):  
Quantum Chaos ◽  
Many Body

scholarly journals Probing the edge between integrability and quantum chaos in interacting few-atom systems

Quantum ◽  
2021 ◽  
Vol 5 ◽  
pp. 486
Author(s):  
Thomás Fogarty ◽  
Miguel Ángel García-March ◽  
Lea F. Santos ◽  
Nathan L. Harshman
Keyword(s):  
Quantum Chaos ◽  
Cold Atoms ◽  
Quantum Systems ◽  
Particle Interactions ◽  
Body System ◽  
Many Body ◽  
One Dimensional ◽  
The Core ◽  
Emergence Of Chaos ◽  
Number Of Particles

Interacting quantum systems in the chaotic domain are at the core of various ongoing studies of many-body physics, ranging from the scrambling of quantum information to the onset of thermalization. We propose a minimum model for chaos that can be experimentally realized with cold atoms trapped in one-dimensional multi-well potentials. We explore the emergence of chaos as the number of particles is increased, starting with as few as two, and as the number of wells is increased, ranging from a double well to a multi-well Kronig-Penney-like system. In this way, we illuminate the narrow boundary between integrability and chaos in a highly tunable few-body system. We show that the competition between the particle interactions and the periodic structure of the confining potential reveals subtle indications of quantum chaos for 3 particles, while for 4 particles stronger signatures are seen. The analysis is performed for bosonic particles and could also be extended to distinguishable fermions.

scholarly journals Many Body Quantum Chaos

2020 ◽  
Vol 5 (2) ◽  
pp. 41
Author(s):  
Sandro Wimberger
Keyword(s):  
Quantum Chaos ◽  
Scientific Community ◽  
Research Field ◽  
Special Issue ◽  
Many Body ◽  
Founding Fathers

This editorial remembers Shmuel Fishman, one of the founding fathers of the research field “quantum chaos”, and puts into context his contributions to the scientific community with respect to the twelve papers that form the special issue.

scholarly journals Spectral Statistics and Many-Body Quantum Chaos with Conserved Charge

2019 ◽  
Vol 123 (21) ◽  
Author(s):  
Aaron J. Friedman ◽  
Amos Chan ◽  
Andrea De Luca ◽  
J. T. Chalker
Keyword(s):  
Quantum Chaos ◽  
Many Body ◽  
Spectral Statistics

scholarly journals Quantum chaos on a critical Fermi surface

2017 ◽  
Vol 114 (8) ◽  
pp. 1844-1849 ◽  
Author(s):  
Aavishkar A. Patel ◽  
Subir Sachdev
Keyword(s):  
Fermi Surface ◽  
Quantum Chaos ◽  
Random Phase ◽  
Gauge Coupling ◽  
High Energy ◽  
Fermi Velocity ◽  
Coupling Constant ◽  
Many Body ◽  
Spatial Dimensions ◽  
The Relationship

We compute parameters characterizing many-body quantum chaos for a critical Fermi surface without quasiparticle excitations. We examine a theory ofNspecies of fermions at nonzero density coupled to aU(1)gauge field in two spatial dimensions and determine the Lyapunov rate and the butterfly velocity in an extended random-phase approximation. The thermal diffusivity is found to be universally related to these chaos parameters; i.e., the relationship is independent ofN, the gauge-coupling constant, the Fermi velocity, the Fermi surface curvature, and high-energy details.

scholarly journals Bose–Hubbard Hamiltonian: Quantum chaos approach

2016 ◽  
Vol 30 (10) ◽  
pp. 1630009 ◽  
Author(s):  
Andrey R. Kolovsky
Keyword(s):  
Optical Lattice ◽  
Quantum Chaos ◽  
Quantum Physics ◽  
Cold Atoms ◽  
Equations Of Motion ◽  
Many Body ◽  
Bloch Oscillations ◽  
Classical Counterpart ◽  
Hubbard Hamiltonian ◽  
Quantum Analysis

We discuss applications of the theory of quantum chaos to one of the paradigm models of many-body quantum physics — the Bose–Hubbard (BH) model, which describes, in particular, interacting ultracold Bose atoms in an optical lattice. After preliminary, pure quantum analysis of the system we introduce the classical counterpart of the BH model and the governing semiclassical equations of motion. We analyze these equations for the problem of Bloch oscillations (BOs) of cold atoms where a number of experimental results are available. The paper is written for nonexperts and can be viewed as an introduction to the field.

scholarly journals Probing quantum chaos in many-body quantum systems by the induced dissipation

2019 ◽  
Vol 100 (1) ◽  
Author(s):  
Anna A. Bychek ◽  
Pavel S. Muraev ◽  
Andrey R. Kolovsky
Keyword(s):  
Quantum Chaos ◽  
Quantum Systems ◽  
Many Body

scholarly journals How many particles make up a chaotic many-body quantum system?

2021 ◽  
Vol 10 (4) ◽  
Author(s):  
Guy Zisling ◽  
Lea Santos ◽  
Yevgeny Bar Lev
Keyword(s):  
Long Range ◽  
Quantum Chaos ◽  
Short Range ◽  
Many Body ◽  
Interacting Particles ◽  
One Dimensional ◽  
Long Range Interactions ◽  
Minimum Number ◽  
Many Particles ◽  
Number Of Particles

We numerically investigate the minimum number of interacting particles, which is required for the onset of strong chaos in quantum systems on a one-dimensional lattice with short-range and long-range interactions. We consider multiple system sizes which are at least three times larger than the number of particles and find that robust signatures of quantum chaos emerge for as few as 4 particles in the case of short-range interactions and as few as 3 particles for long-range interactions, and without any apparent dependence on the size of the system.

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