Local Non-Hermitian Hamiltonian Formalism for Dissipative Fermionic Systems and Loss-Induced Population Increase in Fermi Superfluids
arXiv:2306.16235 · doi:10.1016/j.isci.2025.112641
Abstract
We examine a standard scheme to obtain the non-Hermitian Hamiltonian (NHH) from the Lindblad master equation by neglecting its jump term, and propose an alternative approach to address the limitations of the former. It is shown that the NHH obtained by the conventional scheme fails to provide a good approximation for fermionic many-body systems, even on short timescales. To resolve this issue, we present a framework called the local NHH formalism, which describes the loss process in each individual mode locally. This formalism is applicable to general dissipative fermionic systems and remains consistent with the underlying Lindblad master equation at the level of the equations of motion of local observables. The local NHH formalism also provides a convenient framework for studying non-Hermitian physics in dissipative fermionic systems, especially for spectral analysis, compared to the Lindblad master equation. As an illustration, we consider a fermionic superfluid subjected to one-body loss and find the population increase induced by the loss, resulting from the locking of the relative phase between the pairing gap and the anomalous field. The conventional NHH fails to capture these unique phenomena.
References in corpus (110)
- Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
- Making Sense of Non-Hermitian Hamiltonians
- Edge states and topological invariants of non-Hermitian systems
- Exceptional Topology of Non-Hermitian Systems
- Non-Hermitian Physics
- The Quantum Jump Approach to Dissipative Dynamics in Quantum Optics
- Localization transitions in non-Hermitian quantum mechanics
- Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
- Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
- Topological Origin of Non-Hermitian Skin Effects
- Topological Band Theory for Non-Hermitian Hamiltonians
- Anomalous edge state in a non-Hermitian lattice
- Quantum trajectories and open many-body quantum systems
- Non-Hermitian Boundary Modes
- Observation of non-Hermitian bulk-boundary correspondence in quantum dynamics
- Non-Hermitian robust edge states in one-dimension: Anomalous localization and eigenspace condensation at exceptional points
- Edge Modes, Degeneracies, and Topological Numbers in Non-Hermitian Systems
- Exciton-polariton condensates
- Preparation of Entangled States by Quantum Markov Processes
- Probing topological invariants in the bulk of a non-Hermitian optical system
- Quantum Zeno Effect and the Many-body Entanglement Transition
- Non-Hermitian skin effect and chiral damping in open quantum systems
- Keldysh Field Theory for Driven Open Quantum Systems
- Observation of parity-time symmetry breaking transitions in a dissipative Floquet system of ultracold atoms
- Topological phases in the non-Hermitian Su-Schrieffer-Heeger model
- Weyl Exceptional Rings in a Three-Dimensional Dissipative Cold Atomic Gas
- Edge states and topological phases in non-Hermitian systems
- Second-Order Topological Phases in Non-Hermitian Systems
- Topological Transition in a Non-Hermitian Quantum Walk
- Non-Hermitian Topological Invariants in Real Space
- Unitary-projective entanglement dynamics
- Tools for quantum simulation with ultracold atoms in optical lattices
- Topological phase transition in non-Hermitian quasicrystals
- Quantum exceptional points of non-Hermitian Hamiltonians and Liouvillians: The effects of quantum jumps
- Quantum degenerate dipolar Fermi gas
- Spectral theory of Liouvillians for dissipative phase transitions
- Observation of Non-Hermitian Skin Effect and Topology in Ultracold Atoms
- Non-Hermitian topological phenomena: A review
- Dissipative preparation of entanglement in optical cavities
- Non-Hermitian Quantum Sensing: Fundamental Limits and Non-Reciprocal Approaches
- New topological invariants in non-Hermitian systems
- Controlling the dynamics of an open many-body quantum system with localized dissipation
- Degenerate Fermi Gases of Ytterbium
- Non-Hermitian Many-Body Localization
- Topology-Induced Spontaneous Non-reciprocal Pumping in Cold-Atom Systems with Loss
- Nonlinear control of PT-symmetry and non-Hermitian topological states
- Topological states of non-Hermitian systems
- All-Optical Production of a Degenerate Fermi Gas
- Observation of measurement-induced quantum phases in a trapped-ion quantum computer
- PT-Symmetry in Non-Hermitian Su-Schrieffer-Heeger model with complex boundary potentials
- Observation of the Mott Insulator to Superfluid Crossover of a Driven-Dissipative Bose-Hubbard System
- Theory of Non-Hermitian Fermionic Superfluidity with a Complex-Valued Interaction
- Simulation methods for open quantum many-body systems
- Measurement-induced topological entanglement transitions in symmetric random quantum circuits
- Probing a dissipative phase transition via dynamical optical hysteresis
- Degenerate Fermi Gas of Sr
- Tunable non-reciprocal quantum transport through a dissipative Aharonov-Bohm ring in ultracold atoms
- Observation of non-Bloch parity-time symmetry and exceptional points
- Non-equilibrium steady-states in a driven-dissipative superfluid
- Experimental Realization of a Measurement-Induced Entanglement Phase Transition on a Superconducting Quantum Processor
- Exceptional Surfaces in PT-Symmetric Photonic Systems
- Non-Hermitian Kondo effect in ultracold alkaline-earth atoms
- Signatures of a dissipative phase transition in photon correlation measurements
- Hybrid-Liouvillian formalism connecting exceptional points of non-Hermitian Hamiltonians and Liouvillians via postselection of quantum trajectories
- Dissipative Phase Transition in the Open Quantum Rabi Model
- Simulating non-Hermitian quasicrystals with single-photon quantum walks
- Scalable Dissipative Preparation of Many-Body Entanglement
- Quantum control of bosonic modes with superconducting circuits
- Emergent Fermi surface in a many-body non-Hermitian Fermionic chain
- Spontaneous coherence in spatially extended photonic systems: Non-Equilibrium Bose-Einstein condensation
- Non-Hermitian topological Mott insulators in one-dimensional fermionic superlattices
- Dynamics of Ultracold Quantum Gases in the Dissipative Fermi-Hubbard Model
- Non-Hermitian phase transition from a polariton Bose-Einstein condensate to a photon laser
- Two-dimensional non-Hermitian skin effect in an ultracold Fermi gas
- Lieb-Liniger model of a dissipation-induced Tonks-Girardeau gas
- Dissipation-induced d-Wave Pairing of Fermionic Atoms in an Optical Lattice
- Dynamical sign reversal of magnetic correlations in dissipative Hubbard models
- Engineering tunable local loss in a synthetic lattice of momentum states
- Collective Excitations and Nonequilibrium Phase Transition in Dissipative Fermionic Superfluids
- Theory of superconductivity with non-Hermitian and parity-time reversal symmetric cooper pairing symmetry
- Comparison and unification of non-Hermitian and Lindblad approaches with applications to open quantum optical systems
- Persistent currents in rings of ultracold fermionic atoms
- An atomic colour superfluid via three-body loss
- Topological Bose-Mott insulators in one-dimensional non-Hermitian superlattices
- Simulating Exceptional Non-Hermitian Metals with Single-Photon Interferometry
- Steady-state many-body entanglement of hot reactive fermions
- Observation of the Sign Reversal of the Magnetic Correlation in a Driven-Dissipative Fermi Gas in Double Wells
- Dissipative preparation of phase- and number-squeezed states with ultracold atoms
- Driven-dissipative many-body pairing states for cold fermionic atoms in an optical lattice
- Non-Hermitian Absorption Spectroscopy
- Absence versus Presence of Dissipative Quantum Phase Transition in Josephson Junctions
- A dynamical theory for one-dimensional fermions with strong two-body losses: universal non-Hermitian Zeno physics and spin-charge separation
- Quantum Zeno effects across a parity-time symmetry breaking transition in atomic momentum space
- One-dimensional spin-1/2 fermionic gases with two-body losses: weak dissipation and spin conservation
- Non-Hermitian BCS-BEC evolution with a complex scattering length
- Point-gap topology with complete bulk-boundary correspondence in dissipative quantum systems
- Effect of quantum jumps on non-Hermitian system
- Dissipation-facilitated molecules in a Fermi gas with non-Hermitian spin-orbit coupling
- Complex fixed points of the non-Hermitian Kondo model in a Luttinger liquid
- Dissipation-induced squeezing
- Complex contact interaction for systems with short-range two-body loss
- Universal characteristics of one-dimensional non-Hermitian superconductors
- Probing two-body exceptional points in open dissipative systems
- Non-Hermitian Hartman effect
- Effective scattering and Efimov physics in the presence of two-body dissipation
- Theory of non-Hermitian fermionic superfluidity on a honeycomb lattice: Interplay between exceptional manifolds and van Hove Singularity
- Non-Hermitian topological Fermi superfluid near the -wave unitary limit
- Solvable BCS-Hubbard Liouvillians in arbitrary dimensions
- Non-Hermitian BCS-BEC crossover of Dirac fermions
- Exciting the long-lived Higgs mode in superfluid Fermi gases with particle removal