scholarly journals Dynamical Thermalization of Interacting Fermionic Atoms in a Sinai Oscillator Trap

2019 ◽  
Vol 4 (3) ◽  
pp. 76
Author(s):  
Klaus M. Frahm ◽  
Leonardo Ermann ◽  
Dima L. Shepelyansky
Keyword(s):  
Quantum Chaos ◽  
Cold Atoms ◽  
Particle Dynamics ◽  
Body System ◽  
Many Body ◽  
Fermionic Atoms ◽  
Dirac Distribution ◽  
Initial States

We study numerically the problem of dynamical thermalization of interacting cold fermionic atoms placed in an isolated Sinai oscillator trap. This system is characterized by a quantum chaos regime for one-particle dynamics. We show that, for a many-body system of cold atoms, the interactions, with a strength above a certain quantum chaos border given by the Åberg criterion, lead to the Fermi–Dirac distribution and relaxation of many-body initial states to the thermalized state in the absence of any contact with a thermostate. We discuss the properties of this dynamical thermalization and its links with the Loschmidt–Boltzmann dispute.

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 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.

NEW FORMS OF QUANTUM MATTER NEAR ABSOLUTE ZERO TEMPERATURE

2007 ◽  
Vol 16 (12b) ◽  
pp. 2413-2419
Author(s):  
WOLFGANG KETTERLE
Keyword(s):  
Atomic Physics ◽  
Cold Atoms ◽  
Einstein Condensation ◽  
Many Body ◽  
New Techniques ◽  
Quantum Reflection ◽  
Fermionic Atoms ◽  
Interacting Systems ◽  
Bose Einstein ◽  
Physical Phenomena

In my talk at the workshop on fundamental physics in space I described the nanokelvin revolution which has taken place in atomic physics. Nanokelvin temperatures have given us access to new physical phenomena including Bose–Einstein condensation, quantum reflection, and fermionic superfluidity in a gas. They also enabled new techniques of preparing and manipulating cold atoms. At low temperatures, only very weak forces are needed to control the motion of atoms. This gave rise to the development of miniaturized setups including atom chips. In Earth-based experiments, gravitational forces are dominant unless they are compensated by optical and magnetic forces. The following text describes the work which I used to illustrate the nanokelvin revolution in atomic physics. Strongest emphasis is given to superfluidity in fermionic atoms. This is a prime example of how ultracold atoms are used to create well-controlled strongly interacting systems and obtain new insight into many-body physics.

scholarly journals PT-symmetric non-Hermitian quantum many-body system using ultracold atoms in an optical lattice with controlled dissipation

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Yosuke Takasu ◽  
Tomoya Yagami ◽  
Yuto Ashida ◽  
Ryusuke Hamazaki ◽  
Yoshihito Kuno ◽  
...  
Keyword(s):  
Optical Lattice ◽  
Ultracold Atoms ◽  
Cold Atoms ◽  
Experimental Setup ◽  
Body System ◽  
Many Body ◽  
System Parameters ◽  
Atom Loss ◽  
Many Body Systems ◽  
Important System

Abstract We report our realization of a parity–time (PT)-symmetric non-Hermitian many-body system using cold atoms with dissipation. After developing a theoretical framework on PT-symmetric many-body systems using ultracold atoms in an optical lattice with controlled dissipation, we describe our experimental setup utilizing one-body atom loss as dissipation with special emphasis on calibration of important system parameters. We discuss loss dynamics observed experimentally.

scholarly journals Fast scrambling on sparse graphs

2019 ◽  
Vol 116 (14) ◽  
pp. 6689-6694 ◽  
Author(s):  
Gregory Bentsen ◽  
Yingfei Gu ◽  
Andrew Lucas
Keyword(s):  
Quantum Chaos ◽  
Degrees Of Freedom ◽  
Quantum Correlations ◽  
Quantum Systems ◽  
Body System ◽  
Many Body ◽  
Sparse Graphs ◽  
Local Quantum ◽  
Sparse Connectivity ◽  
Infinite Temperature

Given a quantum many-body system with few-body interactions, how rapidly can quantum information be hidden during time evolution? The fast-scrambling conjecture is that the time to thoroughly mix information among N degrees of freedom grows at least logarithmically in N. We derive this inequality for generic quantum systems at infinite temperature, bounding the scrambling time by a finite decay time of local quantum correlations at late times. Using Lieb–Robinson bounds, generalized Sachdev–Ye–Kitaev models, and random unitary circuits, we propose that a logarithmic scrambling time can be achieved in most quantum systems with sparse connectivity. These models also elucidate how quantum chaos is not universally related to scrambling: We construct random few-body circuits with infinite Lyapunov exponent but logarithmic scrambling time. We discuss analogies between quantum models on graphs and quantum black holes and suggest methods to experimentally study scrambling with as many as 100 sparsely connected quantum degrees of freedom.

ELECTROWETTING-INDUCED DROPLET JUMPING SIMULATION USING MANY-BODY DISSIPATIVE PARTICLE DYNAMICS

2019 ◽  
Author(s):  
Ting Liu ◽  
Anupam Mishra ◽  
Mohsen Torabi ◽  
Ahmed A. Hemeda ◽  
James Palko ◽  
...  
Keyword(s):  
Dissipative Particle Dynamics ◽  
Particle Dynamics ◽  
Many Body

Many-body dissipative particle dynamics study of the local slippage over superhydrophobic surfaces

2021 ◽  
Vol 33 (7) ◽  
pp. 072001
Author(s):  
Liuzhen Ren ◽  
Haibao Hu ◽  
Luyao Bao ◽  
Mengzhuo Zhang ◽  
Jun Wen ◽  
...  
Keyword(s):  
Dissipative Particle Dynamics ◽  
Particle Dynamics ◽  
Superhydrophobic Surfaces ◽  
Many Body ◽  
Local Slippage

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
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