Entanglement Hamiltonian and effective temperature of non-Hermitian quantum spin ladders

Abstract

Quantum entanglement plays a crucial role not only in understanding Hermitian many-body systems but also in offering valuable insights into non-Hermitian quantum systems. In this paper, we analytically investigate the entanglement Hamiltonian and entanglement energy spectrum of a non-Hermitian spin ladder using perturbation theory in the biorthogonal basis. Specifically, we examine the entanglement properties between coupled non-Hermitian quantum spin chains. In the strong coupling limit ($J_{\mathrm{rung}}\gg 1$), first-order perturbation theory reveals that the entanglement Hamiltonian closely resembles the single-chain Hamiltonian with renormalized coupling strengths, allowing for the definition of an ad hoc temperature. Our findings provide new insights into quantum entanglement in non-Hermitian systems and offer a foundation for developing novel approaches for studying finite temperature properties in non-Hermitian quantum many-body systems.

References in corpus (18)

• Making Sense of Non-Hermitian Hamiltonians
• Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
• Matrix Product Density Operators: Simulation of finite-T and dissipative systems
• Defining a bulk-edge correspondence for non-Hermitian Hamiltonians via singular-value decomposition
• Entanglement Phase Transition Induced by the Non-Hermitian Skin Effect
• General properties of fidelity in non-Hermitian quantum systems with PT symmetry
• Hermitian Bulk -- Non-Hermitian Boundary Correspondence
• A non-Hermitian optical atomic mirror
• Edge-entanglement spectrum correspondence in a nonchiral topological phase and Kramers-Wannier duality
• Symmetry-resolved entanglement in critical non-Hermitian systems
• Unlocking the general relationship between energy and entanglement spectra via the wormhole effect
• Experimental observation of exceptional bound states in a classical circuit network
• Generalized Quantum Geometric Tensor in a Non-Hermitian Exciton-Polariton System
• Emergent parallel transport and curvature in Hermitian and non-Hermitian quantum mechanics
• Entanglement Hamiltonian in the non-Hermitian SSH model
• Exceptional Points in the Baxter-Fendley Free Parafermion Model
• Transfer learning from Hermitian to non-Hermitian quantum many-body physics
• Quantum State Evolution and Berry Potentials at Exceptional Points and Quantum Phase Transitions

Cited by in corpus (6)

• Non-Hermitian Generalization of Rayleigh-Schrödinger Perturbation Theory
• Heisenberg and Heisenberg-Like Representations via Hilbert Space Bundle Geometry in the Non-Hermitian Regime
• High-fidelity multipartite entanglement creation in non-Hermitian qubits
• Fidelity and quantum geometry approach to Dirac exceptional points in diamond nitrogen-vacancy centers
• Generalised Entanglement Entropies from Unit-Invariant Singular Value Decomposition
• Asymptotically exact solution of the non-Hermitian disordered interacting Hatano-Nelson chain