Thermalization in one- plus two-body ensembles for dense interacting boson systems

Abstract

Employing one plus two-body random matrix ensembles for bosons, temperature and entropy are calculated, using different definitions, as a function of the two-body interaction strength λfor a system with 10 bosons (m=10) in five single particle levels (N=5). It is found that in a region λ\sim λ_t, different definitions give essentially same values for temperature and entropy, thus defining a thermalization region. Also, (m,N) dependence of λ_t has been derived. It is seen that λ_t is much larger than the λvalues where level fluctuations change from Poisson to GOE and strength functions change from Breit-Wigner to Gaussian.

7 pages, 4 figures

References in corpus (24)

• Many-Body Physics with Ultracold Gases
• Thermalization and its mechanism for generic isolated quantum systems
• Probing the relaxation towards equilibrium in an isolated strongly correlated 1D Bose gas
• Breakdown of thermalization in finite one-dimensional systems
• Onset of quantum chaos in one-dimensional bosonic and fermionic systems and its relation to thermalization
• Distribution of occupation numbers in finite Fermi-systems and role of interaction in chaos and thermalization
• Quantum quenches and thermalization in one-dimensional fermionic systems
• Localization and the effects of symmetries in the thermalization properties of one-dimensional quantum systems
• Statistical Theory of Finite Fermi-Systems Based on the Structure of Chaotic Eigenstates
• Quantum chaos and thermalization in gapped systems
• Onset of chaos and relaxation in isolated systems of interacting spins-1/2: energy shell approach
• Chaos and statistical relaxation in quantum systems of interacting particles
• Chaos {\sl vs} Thermalization in the Nuclear Shell Model
• Initial state dependence of the quench dynamics in integrable quantum systems
• Towards a Statistical Theory of Finite Systems and Compound States: Random Two-Body Interaction Approach
• Thermalization and ergodicity in many-body open quantum systems
• Entropy production and wave packet dynamics in the Fock space of closed chaotic many-body systems
• Chaos and Thermalization in a Dynamical Model of Two Interacting Particles
• Emergence of Fermi-Dirac Thermalization in the Quantum Computer Core
• Spectral Properties of the k-Body Embedded Gaussian Ensembles of Random Matrices for Bosons
• Duality Between the Weak and Strong Interaction Limits for Randomly Interacting Fermions
• Non-Ergodic Behaviour of the k-Body Embedded Gaussian Random Ensembles for Bosons
• Strength functions, entropies and duality in weakly to strongly interacting fermionic systems
• Between Poisson and GUE statistics: Role of the Breit-Wigner width

Cited by in corpus (12)

• Many-body entropies, correlations, and emergence of statistical relaxation in interaction quench dynamics of ultracold bosons
• Exponentially fast dynamics of chaotic many-body systems
• Probability Distribution of the Ratio of Consecutive Level Spacings in Interacting Particle Systems
• Emergence of correlations in the process of thermalization of interacting bosons
• Temperature of a single chaotic eigenstate
• Localization-Delocalization Transitions in Bosonic Random Matrix Ensembles
• Random matrix ensemble with random two-body interactions in presence of a mean-field for spin one boson systems
• Average-fluctuation separation in energy levels in many-particle quantum systems with $k$-body interactions using $q$-Hermite polynomials
• Structure of wavefunction for interacting bosons in mean-field with random $k$-body interactions
• Localized Thermal States
• Thermalization in many-fermion quantum systems with one- plus random $k$-body interactions
• Ordered Level Spacing Distribution in Embedded Random Matrix Ensembles