Statistic physics in bound state in 3D fermi gas system

Abstract

The bound state is treated as a long-lived quasiparticle with slow momenta and current relaxation in fermi liquid phase. In this paper, we discuss the realization of ensemble behavior in a 3D fermi gas system in non-fermi liquid phase. We reveal the relation between UV cutoff of relative momentum ${\Lambda }_q$ and its ensemble behavior. The behavior of a bound state system has rarely been investigated before, and the relation between the scattering momentum and the physics has not yet been explored before (to best of our knowledge). We found that the cutoff ${\Lambda }_q$ directly related to the distribution and statistical variance of coupling term, which becomes Gaussian variable (or Chi-square variable) in limit (i.e., with a large step number of a fractional distance ${\Lambda }_q^{-1}\to \infty$). Also, we show that the different ${\Lambda }_q^{-1}$ lending support to different phases, including non-fermi liquid phase and (disordered) fermi liquid phase, which correspond to ill-defined and well-defined bound states, respectively. The pair condensation induced by local coupling, which happen at critical temperature, would suppresses the non-fermi liquid for constant on-site coupling (it is not the case when the coupling be variant). % We deduce the free energy density and the divergent behaviors of anomalous propagator in this case. % Finally, we also present a discussion of ensembles of level statistic that depending on which symmetry class the system belongs to, and that can be controlled by the type of disorder. Further, when the range of condensation is larger, the homogeneous character will emerge and the thermalization can be observed where eigenstates with higher energy has lower overlap with the low-entangled states.

References in corpus (22)

• Bekenstein-Hawking Entropy and Strange Metals
• Metastability and Coherence of Repulsive Polarons in a Strongly Interacting Fermi Mixture
• Sachdev-Ye-Kitaev Model and Thermalization on the Boundary of Many-Body Localized Fermionic Symmetry Protected Topological States
• Quasiparticle properties of a mobile impurity in a Bose-Einstein condensate
• Non-Fermi liquids and the Wiedemann-Franz law
• Gapless Bosonic Excitation without symmetry breaking: Novel Algebraic Spin liquid with soft Gravitons
• Quantum holography in a graphene flake with an irregular boundary
• Instability of the non-Fermi liquid state of the Sachdev-Ye-Kitaev Model
• Solvable Strong-coupling Quantum Dot Model with a Non-Fermi-liquid Pairing Transition
• Metal-insulator transition in 2D random fermion systems of chiral symmetry classes
• Optical lattice platform for the SYK model
• Fate of the Bose polaron at finite temperature
• A critical strange metal from fluctuating gauge fields in a solvable random model
• Non-perturbative approach to the attractive Hubbard model
• $T$-linear resistivity in models with local self-energy
• Linear response theory of interacting topological insulators
• Family of Sachdev-Ye-Kitaev models motivated by experimental considerations
• Negative scaling dimensions and conformal invariance at the Nishimori point in the +/-J random-bond Ising model
• Supersymmetry method for interacting chaotic and disordered systems: the SYK model
• Symmetry conditions of a nodal superconductor for generating robust flat-band Andreev bound states at its dirty surface
• Entanglement Entropy Transitions with Random Tensor Networks
• Non-Equilibrium Steady States and Quantum Chaos in a three-site Driven-Dissipative Bose-Hubbard Chains base on Self-Consistent Mean-Field Approach

Cited by in corpus (2)

• Non-Equilibrium Steady States and Quantum Chaos in a three-site Driven-Dissipative Bose-Hubbard Chains base on Self-Consistent Mean-Field Approach
• Electronic properties of the boson mode in a three-point fermion loop and the emergent SYK physics