Phase transitions in a non-Hermitian Su-Schrieffer-Heeger model via Krylov spread complexity
arXiv:2503.18936 · doi:10.1103/6lvg-7qdn
Abstract
We investigate phase transitions in a non-Hermitian Su-Schrieffer-Heeger (SSH) model with an imaginary chemical potential via Krylov spread complexity and Krylov fidelity. The spread witnesses the -transition for the non-Hermitian Bogoliubov vacuum of the SSH Hamiltonian, where the spectrum goes from purely real to complex (oscillatory dynamics to damped oscillations). In addition, it also witnesses the transition occurring in the -broken phase, where the spectrum goes from complex to purely imaginary (damped oscillations to sheer decay). For a purely imaginary spectrum, the Krylov spread fidelity, which measures how the time-dependent spread reaches its stationary state value, serves as a probe of previously undetected dynamical phase transitions.
References in corpus (65)
- The physics of exceptional points
- Measurement-Induced Phase Transitions in the Dynamics of Entanglement
- Quantum Zeno Effect and the Many-body Entanglement Transition
- Measurement-driven entanglement transition in hybrid quantum circuits
- Environment-independent decoherence rate in classically chaotic systems
- Quantum Computation as Geometry
- Topological phases in the non-Hermitian Su-Schrieffer-Heeger model
- Theory of the phase transition in random unitary circuits with measurements
- Random Quantum Circuits
- Unitary-projective entanglement dynamics
- A Universal Operator Growth Hypothesis
- Entanglement in a fermion chain under continuous monitoring
- Measurement-Induced Entanglement Transitions in the Quantum Ising Chain: From Infinite to Zero Clicks
- Entanglement transition from variable-strength weak measurements
- Quantum chaos and the complexity of spread of states
- Operator complexity: a journey to the edge of Krylov space
- Linear growth of quantum circuit complexity
- Krylov complexity from integrability to chaos
- Operator growth and Krylov construction in dissipative open quantum systems
- Krylov Localization and suppression of complexity
- Universal chaotic dynamics from Krylov space
- Operator growth in open quantum systems: lessons from the dissipative SYK
- Quantum Complexity of Time Evolution with Chaotic Hamiltonians
- Quantum Dynamics in Krylov Space: Methods and Applications
- Ultimate Speed Limits to the Growth of Operator Complexity
- Volume-to-Area Law Entanglement Transition in a non-Hermitian Free Fermionic Chain
- Quantum complexity and topological phases of matter
- Krylov Complexity in Open Quantum Systems
- On Krylov complexity in open systems: an approach via bi-Lanczos algorithm
- Krylov complexity and chaos in quantum mechanics
- Spread Complexity and Topological Transitions in the Kitaev Chain
- Krylov complexity of density matrix operators
- Spectral and Krylov Complexity in Billiard Systems
- A universal approach to Krylov State and Operator complexities
- Non-Hermitian generalizations of extended Su-Schrieffer-Heeger models
- Quantum speed limits on operator flows and correlation functions
- Time evolution of spread complexity in quenched Lipkin-Meshkov-Glick model
- Spread complexity in saddle-dominated scrambling
- Spread and Spectral Complexity in Quantum Spin Chains: from Integrability to Chaos
- -symmetric, non-Hermitian quantum many-body physics -- a methodological perspective
- Krylov complexity as an order parameter for quantum chaotic-integrable transitions
- Assessing the saturation of Krylov complexity as a measure of chaos
- A relation between Krylov and Nielsen complexity
- Measurement-induced transitions for interacting fermions
- Topology of multipartite non-Hermitian one-dimensional systems
- Spread complexity for measurement-induced non-unitary dynamics and Zeno effect
- Krylov Complexity and Dynamical Phase Transition in the quenched LMG model
- Krylov complexity and Trotter transitions in unitary circuit dynamics
- Operator growth and spread complexity in open quantum systems
- Krylov space approach to Singular Value Decomposition in non-Hermitian systems
- Chiral metals and entrapped insulators in a one-dimensional topological non-Hermitian system
- Krylov Complexity in Mixed Phase Space
- Entanglement Hamiltonian in the non-Hermitian SSH model
- Topological phases of commensurate or incommensurate non-Hermitian Su-Schrieffer-Heeger lattices
- Skin Effect in Quadratic Lindbladian Systems: an Adjoint Fermion Approach
- Speed limits to the growth of Krylov complexity in open quantum systems
- Correlations and Krylov spread for a non-Hermitian Hamiltonian: Ising chain with a complex-valued transverse magnetic field
- Brickwall One-Loop Determinant: Spectral Statistics & Krylov Complexity
- Krylov Subspace Methods for Quantum Dynamics with Time-Dependent Generators
- Entanglement phase transitions in non-Hermitian Floquet systems
- Dynamics of monitored SSH Model in Krylov Space: From Complexity to Quantum Fisher Information
- Singular Value Decomposition and Its Blind Spot for Quantum Chaos in Non-Hermitian Sachdev-Ye-Kitaev Models
- Topological transitions in dissipatively coupled Su-Schrieffer-Heeger models
- Entanglement in quenched extended Su-Schrieffer-Heeger model with anomalous dynamical quantum phase transitions
- Quantifying operator spreading and chaos in Krylov subspaces with quantum state reconstruction