Many-body Non-Hermitian Skin Effect At Finite Temperatures

Abstract

In this study, we investigate the many-body non-Hermitian skin effect at finite temperatures in the thermodynamic limit. Our findings indicate an interesting correspondence between the non-Hermitian skin effect and a linear electric potential effect in this case. This correspondence leads to a unique distribution in non-Hermitian systems; particles in these many-body non-Hermitian systems do not inhabit the energy eigenstates of their single-body counterparts. As a result, the many-body non-Hermitian skin effect is significantly different from the single-body non-Hermitian skin effect. Specifically, for fermionic systems, the non-Hermitian skin effect disrupts the original phase, leading to a real-space Fermi surface. For bosonic systems, it can direct bosons to condense in corners at a decay rate that surpasses exponential, even at high temperatures. It also triggers a remarkable phase transition, resulting in spontaneous U(1) symmetry breaking. Uniquely, this does not generate a Goldstone mode, presenting a deviation from traditional expectations as per the Goldstone theorem.

References in corpus (38)

• Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
• Making Sense of Non-Hermitian Hamiltonians
• Edge states and topological invariants of non-Hermitian systems
• Complex Extension of Quantum Mechanics
• Localization transitions in non-Hermitian quantum mechanics
• Topological phases of non-Hermitian systems
• Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
• Topological Origin of Non-Hermitian Skin Effects
• Non-Bloch Band Theory of Non-Hermitian Systems
• Correspondence between winding numbers and skin modes in non-hermitian systems
• Non-Hermitian Chern bands
• Non-Hermitian Boundary Modes
• Anatomy of skin modes and topology in non-Hermitian systems
• Non-Hermitian robust edge states in one-dimension: Anomalous localization and eigenspace condensation at exceptional points
• Non-Hermitian skin effect and chiral damping in open quantum systems
• Introduction to PT-Symmetric Quantum Theory
• Critical non-Hermitian Skin Effect
• Universal non-Hermitian skin effect in two and higher dimensions
• Probing non-Hermitian Skin Effect and non-Bloch Phase Transitions
• New topological invariants in non-Hermitian systems
• Non-Hermitian skin modes induced by on-site dissipations and chiral tunneling effect
• Anomalous helical edge states in a non-Hermitian Chern insulator
• Bose-Einstein Condensation in a Harmonic Potential
• Continuous Phase Transition without Gap Closing in Non-Hermitian Quantum Many-Body Systems
• Skin superfluid, topological Mott insulators, and asymmetric dynamics in interacting non-Hermitian Aubry-Andre-Harper models
• Emergent Fermi surface in a many-body non-Hermitian Fermionic chain
• Non-Hermitian topological Mott insulators in one-dimensional fermionic superlattices
• Many-body approach to non-Hermitian physics in fermionic systems
• Symmetry breaking and spectral structure of the interacting Hatano-Nelson model
• Non-Hermitian Skin Effects in Hermitian Correlated/Disordered Systems: Boundary-Sensitive/Insensitive Quantities and Pseudo Quantum Number
• Full-Counting Many-Particle Dynamics: Nonlocal and Chiral Propagation of Correlations
• Fate of the non-Hermitian skin effect in many-body fermionic systems
• Topological Bose-Mott insulators in one-dimensional non-Hermitian superlattices
• Non-Hermitian skin effect as an impurity problem
• Non-Hermitian skin effect in one-dimensional interacting Bose gas
• Full counting statistics in the many-body Hatano-Nelson model
• Statistical mechanics for non-Hermitian quantum systems
• Physics of PT-Symmetric Quantum Systems at Finite Temperature

Cited by in corpus (8)

• General criterion for non-Hermitian skin effects and Application: Fock space skin effects in many body systems
• Dynamical suppression of many-body non-Hermitian skin effect in Anyonic systems
• Entanglement transitions in a periodically driven non-Hermitian Ising chain
• Berry curvature inside parity-time-symmetry protected exceptional surface
• Diagnosing thermalization dynamics of non-Hermitian quantum systems via GKSL master equations
• Topological phases of many-body non-Hermitian systems
• Physical constraints on effective non-Hermitian systems
• Interacting many-body non-Hermitian systems as Markov chains