Non-Hermitian Haldane-Hubbard model: Effective description of one- and two-body dissipation

Abstract

Using numerically exact diagonalization, we study the correlated Haldane-Hubbard model in the presence of dissipation. Such dissipation can be modeled at short times by the dynamics governed by an effective non-Hermitian Hamiltonian, of which we present a full characterization. If the dissipation corresponds to a two-body loss, the repulsive interaction of the effective Hamiltonian acquires an imaginary component. A competition between the formation of a charge-ordered Mott insulator state and a topological insulator ensues, but with the non-Hermitian contribution aiding in stabilizing the topologically non-trivial regime, delaying the onset of the formation of a local order parameter. Lastly, we analyze the robustness of the ordered phase by following the full dissipative many-body real-time dynamics. An exponentially fast melting of the charge order occurs, whose characteristic rate is roughly independent of the interaction strength, for the case of one-body dissipation.

10 pages, 6 figures; published version

References in corpus (23)

• Quantum trajectories and open many-body quantum systems
• Fidelity, dynamic structure factor, and susceptibility in critical phenomena
• Topological phases in the non-Hermitian Su-Schrieffer-Heeger model
• Quantum critical scaling of the geometric tensors
• Strong dissipation inhibits losses and induces correlations in cold molecular gases
• Non-Hermitian topological phenomena: A review
• Gain and loss induced topological insulating phase in a non Hermitian electrical circuit
• Ground-state fidelity in one-dimensional gapless model
• Interaction effects and quantum phase transitions in topological insulators
• Many-body topology of non-Hermitian systems
• Symmetry breaking and spectral structure of the interacting Hatano-Nelson model
• Universal properties of dissipative Tomonaga-Luttinger liquids: Case study of a non-Hermitian XXZ spin chain
• Topological Mott Insulator at Quarter Filling in the Interacting Haldane Model
• Fate of fractional quantum Hall states in open quantum systems: characterization of correlated topological states for the full Liouvillian
• Universal description of dissipative Tomonaga-Luttinger liquids with SU($N$) spin symmetry: Exact spectrum and critical exponents
• Reduction of one-dimensional non-Hermitian point-gap topology by correlations
• Polarization and entanglement spectrum in non-hermitian systems
• Fate of exceptional points under interactions: Reduction of topological classifications
• Emergent Mott insulators and non-Hermitian conservation laws in an interacting bosonic chain with noninteger filling and nonreciprocal hopping
• Non-Hermiticity induced Exceptional Points and Skin Effect in the Dice-Haldane Model
• Higher-order topological insulator in a modified Haldane-Hubbard model
• Phase transitions in the Haldane-Hubbard model with ionic potentials
• Charge excitations across a superconductor-insulator transition

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