scholarly journals One-Dimensional Disordered Bosonic Systems

Atoms ◽  
2021 ◽  
Vol 9 (4) ◽  
pp. 112
Author(s):  
Chiara D’Errico ◽  
Marco G. Tarallo
Keyword(s):  
Transport Properties ◽  
Quantum Systems ◽  
Quantum Gases ◽  
Many Body ◽  
Complete Understanding ◽  
One Dimensional ◽  
Exotic States ◽  
Theoretical Predictions ◽  
Open Question

Disorder is everywhere in nature and it has a fundamental impact on the behavior of many quantum systems. The presence of a small amount of disorder, in fact, can dramatically change the coherence and transport properties of a system. Despite the growing interest in this topic, a complete understanding of the issue is still missing. An open question, for example, is the description of the interplay of disorder and interactions, which has been predicted to give rise to exotic states of matter such as quantum glasses or many-body localization. In this review, we will present an overview of experimental observations with disordered quantum gases, focused on one-dimensional bosons, and we will connect them with theoretical predictions.

scholarly journals Interaction instability of localization in quasiperiodic systems

2018 ◽  
Vol 115 (18) ◽  
pp. 4595-4600 ◽  
Author(s):  
Marko Žnidarič ◽  
Marko Ljubotina
Keyword(s):  
Transport Properties ◽  
Quantum Systems ◽  
Theoretical Physics ◽  
Solvable Models ◽  
Many Body ◽  
Small Perturbations ◽  
One Dimensional ◽  
Quasiperiodic Potential ◽  
Quasiperiodic Systems ◽  
Small Interactions

Integrable models form pillars of theoretical physics because they allow for full analytical understanding. Despite being rare, many realistic systems can be described by models that are close to integrable. Therefore, an important question is how small perturbations influence the behavior of solvable models. This is particularly true for many-body interacting quantum systems where no general theorems about their stability are known. Here, we show that no such theorem can exist by providing an explicit example of a one-dimensional many-body system in a quasiperiodic potential whose transport properties discontinuously change from localization to diffusion upon switching on interaction. This demonstrates an inherent instability of a possible many-body localization in a quasiperiodic potential at small interactions. We also show how the transport properties can be strongly modified by engineering potential at only a few lattice sites.

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 Transport in one-dimensional integrable quantum systems

2020 ◽  
Author(s):  
Jesko Sirker
Keyword(s):  
Transport Properties ◽  
Spin Chain ◽  
Linear Response ◽  
Summer School ◽  
Condensed Matter ◽  
Quantum Systems ◽  
Integrable Models ◽  
One Dimensional ◽  
Integrable Quantum ◽  
Linear Response Regime

These notes are based on a series of three lectures given at the Les Houches summer school on ’Integrability in Atomic and Condensed Matter Physics’ in August 2018. They provide an introduction into the unusual transport properties of integrable models in the linear response regime focussing, in particular, on the spin-1/21/2 XXZ spin chain.

Introduction to integrable many-body systems I

2008 ◽  
Vol 58 (6) ◽  
Author(s):  
Ladislav Šamaj
Keyword(s):  
Hard Core ◽  
Coulomb Gas ◽  
Quantum Gases ◽  
Many Body ◽  
One Dimensional ◽  
Introductory Course ◽  
Pairwise Interactions ◽  
Classical Models ◽  
Physical Level ◽  
Many Body Systems

Introduction to integrable many-body systems IThis is the first volume of a three-volume introductory course about integrable (exactly solvable) systems of interacting bodies. The aim of the course is to derive and analyze, on an elementary mathematical and physical level, the Bethe ansatz solutions, ground-state properties and the thermodynamics of integrable many-body systems in many domains of physics: Nonrelativistic one-dimensional continuum Fermi and Bose gases; One-dimensional quantum models of condensed matter physics like the Heisenberg, Hubbard and Kondo models; Relativistic models of the (1+1)-dimensional Quantum Field Theory like the Luttinger model, the sine-Gordon model and its fermionic analog the Thirring model; Two-dimensional classical models, especially the symmetric Coulomb gas. In the first part of this volume, we deal with nonrelativistic one-dimensional continuum Fermi and Bose quantum gases of spinless (identical) particles with specific types of pairwise interactions like the short-range δ-function and hard-core interactions, and the long-range 1/

EXACT RESULTS FOR MANY-BODY PROBLEMS USING FEW-BODY METHODS

2006 ◽  
Vol 20 (19) ◽  
pp. 2595-2602
Author(s):  
JOHN CARDY
Keyword(s):  
Recent Progress ◽  
Quantum Systems ◽  
Point Of View ◽  
Exact Results ◽  
Many Body ◽  
New Approach ◽  
One Dimensional ◽  
Many Body Theory ◽  
Loewner Evolution ◽  
Body Theory

Recently there has been developed a new approach to the study of critical quantum systems in 1+1 dimensions which reduces them to problems in one-dimensional Brownian motion. This goes under the name of stochastic, or Schramm, Loewner Evolution (SLE). I review some of the recent progress in this area, from the point of view of many-body theory. Connections to random matrices also emerge.

scholarly journals Many-body localization in presence of cavity mediated long-range interactions

2019 ◽  
Vol 7 (1) ◽  
Author(s):  
Piotr Sierant ◽  
Krzysztof Biedroń ◽  
Giovanna Morigi ◽  
Jakub Zakrzewski
Keyword(s):  
Finite Size ◽  
Exact Diagonalization ◽  
Quantum Gases ◽  
Time Dependent ◽  
Finite Size Scaling ◽  
Many Body ◽  
Initial State ◽  
Optical Cavities ◽  
One Dimensional ◽  
Long Range Interactions

We show that a one-dimensional Hubbard model with all-to-all coupling may exhibit many-body localization in the presence of local disorder. We numerically identify the parameter space where many-body localization occurs using exact diagonalization and finite-size scaling. The time evolution from a random initial state exhibits features consistent with the localization picture. The dynamics can be observed with quantum gases in optical cavities, localization can be revealed through the time-dependent dynamics of the light emitted by the resonator.

scholarly journals Fluctuations and Stochastic Processes in One-Dimensional Many-Body Quantum Systems

2010 ◽  
Vol 105 (1) ◽  
Author(s):  
H.-P. Stimming ◽  
N. J. Mauser ◽  
J. Schmiedmayer ◽  
I. E. Mazets
Keyword(s):  
Stochastic Processes ◽  
Quantum Systems ◽  
Many Body ◽  
One Dimensional

scholarly journals Quantum phase slips: from condensed matter to ultracold quantum gases

2017 ◽  
Vol 375 (2108) ◽  
pp. 20160425 ◽  
Author(s):  
C. D'Errico ◽  
S. Scaffidi Abbate ◽  
G. Modugno
Keyword(s):  
Low Temperatures ◽  
Periodic Potential ◽  
Condensed Matter ◽  
Quantum Systems ◽  
Quantum Gases ◽  
Quantum Phase ◽  
One Dimensional ◽  
Quantum Phase Slips ◽  
Ultracold Quantum Gases ◽  
Phase Slips

Quantum phase slips (QPS) are the primary excitations in one-dimensional superfluids and superconductors at low temperatures. They have been well characterized in most condensed-matter systems, and signatures of their existence have been recently observed in superfluids based on quantum gases too. In this review, we briefly summarize the main results obtained on the investigation of phase slips from superconductors to quantum gases. In particular, we focus our attention on recent experimental results of the dissipation in one-dimensional Bose superfluids flowing along a shallow periodic potential, which show signatures of QPS. This article is part of the themed issue ‘Breakdown of ergodicity in quantum systems: from solids to synthetic matter’.

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