scholarly journals Many-body out-of-equilibrium dynamics of hard-core lattice bosons with nonlocal loss

2014 ◽  
Vol 90 (13) ◽  
Author(s):  
B. Everest ◽  
M. R. Hush ◽  
I. Lesanovsky
Keyword(s):  
Hard Core ◽  
Many Body ◽  
Equilibrium Dynamics

scholarly journals Epidemic growth and Griffiths effects on an emergent network of excited atoms

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
T. M. Wintermantel ◽  
M. Buchhold ◽  
S. Shevate ◽  
M. Morgado ◽  
Y. Wang ◽  
...  
Keyword(s):  
Complex Systems ◽  
Power Laws ◽  
Excitation Density ◽  
Griffiths Phase ◽  
Many Body ◽  
Excited Atoms ◽  
Equilibrium Dynamics ◽  
Many Body Systems ◽  
Excitation Number ◽  
Non Equilibrium

AbstractWhether it be physical, biological or social processes, complex systems exhibit dynamics that are exceedingly difficult to understand or predict from underlying principles. Here we report a striking correspondence between the excitation dynamics of a laser driven gas of Rydberg atoms and the spreading of diseases, which in turn opens up a controllable platform for studying non-equilibrium dynamics on complex networks. The competition between facilitated excitation and spontaneous decay results in sub-exponential growth of the excitation number, which is empirically observed in real epidemics. Based on this we develop a quantitative microscopic susceptible-infected-susceptible model which links the growth and final excitation density to the dynamics of an emergent heterogeneous network and rare active region effects associated to an extended Griffiths phase. This provides physical insights into the nature of non-equilibrium criticality in driven many-body systems and the mechanisms leading to non-universal power-laws in the dynamics of complex systems.

scholarly journals Non-equilibrium dynamics of an ultracold Bose gas under multi-pulsed interaction quenches

2016 ◽  
Vol 30 (30) ◽  
pp. 1650367 ◽  
Author(s):  
Lei Chen ◽  
Zhidong Zhang ◽  
Zhaoxin Liang
Keyword(s):  
Bose Gas ◽  
Quantum Gases ◽  
Zero Temperature ◽  
Many Body ◽  
Equilibrium Dynamics ◽  
Many Body Systems ◽  
Multiple Interaction ◽  
The One ◽  
Body Correlation ◽  
Non Equilibrium

We investigate the non-equilibrium properties of a weakly interacting Bose gas subjected to a multi-pulsed quench at zero temperature, where the interaction parameter in the Hamiltonian system switches between values [Formula: see text] and [Formula: see text] for multiple times. The one-body and two-body correlation functions as well as Tan’s contact are calculated. The quench induced excitations are shown to increase with the number of quenches for both [Formula: see text] and [Formula: see text]. This implies the possibility to use multi-pulsed quantum quench as a more powerful way as compared to the “one-off” quench in controllable explorations of non-equilibrium quantum many-body systems. In addition, we study the ultra-short-range property of the two-body correlation function after multiple interaction quenches, which can serve as a probe of the “Tan’s contact” in the experiments. Our findings allow for an experimental probe using state of the art techniques with ultracold quantum gases.

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/

scholarly journals Many-body dark solitons in one-dimensional hard-core Bose gases

2021 ◽  
Vol 104 (4) ◽  
Author(s):  
Manuele Tettamanti ◽  
Alberto Parola
Keyword(s):  
Hard Core ◽  
Many Body ◽  
Bose Gases ◽  
One Dimensional ◽  
Dark Solitons

Hard-Core Insertion in the Many-Body Problem

1964 ◽  
Vol 136 (1B) ◽  
pp. B290-B296 ◽  
Author(s):  
J. K. Percus ◽  
G. J. Yevick
Keyword(s):  
Body Problem ◽  
Hard Core ◽  
Many Body ◽  
The Many

scholarly journals Scaling approach to quantum non-equilibrium dynamics of many-body systems

2010 ◽  
Vol 12 (11) ◽  
pp. 113005 ◽  
Author(s):  
Vladimir Gritsev ◽  
Peter Barmettler ◽  
Eugene Demler
Keyword(s):  
Many Body ◽  
Equilibrium Dynamics ◽  
Many Body Systems ◽  
Non Equilibrium

scholarly journals Strongly correlated flat-band systems: The route from Heisenberg spins to Hubbard electrons

2015 ◽  
Vol 29 (12) ◽  
pp. 1530007 ◽  
Author(s):  
Oleg Derzhko ◽  
Johannes Richter ◽  
Mykola Maksymenko
Keyword(s):  
Low Temperature ◽  
Ground State ◽  
Hard Core ◽  
Spin Systems ◽  
Square Lattice ◽  
Flat Band ◽  
Particle Spectrum ◽  
Strongly Correlated ◽  
Many Body ◽  
Hubbard Models

On a large class of lattices (such as the sawtooth chain, the kagome and the pyrochlore lattices), the quantum Heisenberg and the repulsive Hubbard models may host a completely dispersionless (flat) energy band in the single-particle spectrum. The flat-band states can be viewed as completely localized within a finite volume (trap) of the lattice and allow for construction of many-particle states, roughly speaking, by occupying the traps with particles. If the flat-band happens to be the lowest-energy one, the manifold of such many-body states will often determine the ground-state and low-temperature physics of the models at hand even in the presence of strong interactions. The localized nature of these many-body states makes possible the mapping of this subset of eigenstates onto a corresponding classical hard-core system. As a result, the ground-state and low-temperature properties of the strongly correlated flat-band systems can be analyzed in detail using concepts and tools of classical statistical mechanics (e.g., classical lattice-gas approach or percolation approach), in contrast to more challenging quantum many-body techniques usually necessary to examine strongly correlated quantum systems. In this review, we recapitulate the basic features of the flat-band spin systems and briefly summarize earlier studies in the field. The main emphasis is made on recent developments which include results for both spin and electron flat-band models. In particular, for flat-band spin systems, we highlight field-driven phase transitions for frustrated quantum Heisenberg antiferromagnets at low temperatures, chiral flat-band states, as well as the effect of a slight dispersion of a previously strictly flat-band due to nonideal lattice geometry. For electronic systems, we discuss the universal low-temperature behavior of several flat-band Hubbard models, the emergence of ground-state ferromagnetism in the square-lattice Tasaki–Hubbard model and the related Pauli-correlated percolation problem, as well as the dispersion-driven ground-state ferromagnetism in flat-band Hubbard systems. Closely related studies and possible experimental realizations of the flat-band physics are also described briefly.

scholarly journals Randomness of Eigenstates of Many-Body Quantum Systems

Entropy ◽  
2019 ◽  
Vol 21 (3) ◽  
pp. 227 ◽  
Author(s):  
Li-Zhen Sun ◽  
Qingmiao Nie ◽  
Haibin Li
Keyword(s):  
Hard Core ◽  
Underlying Mechanism ◽  
Quantum Systems ◽  
One Dimension ◽  
Many Body ◽  
Random Vectors ◽  
Boson System ◽  
Many Body Systems

The emergence of random eigenstates of quantum many-body systems in integrable-chaos transitions is the underlying mechanism of thermalization for these quantum systems. We use fidelity and modulus fidelity to measure the randomness of eigenstates in quantum many-body systems. Analytic results of modulus fidelity between random vectors are obtained to be a judge for the degree of randomness. Unlike fidelity, which just refers to a kind of criterion of necessity, modulus fidelity can measure the degree of randomness in eigenstates of a one-dimension (1D) hard-core boson system and identifies the integrable-chaos transition in this system.

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