Quantum probing topological phase transitions by non-Markovianity
arXiv:1907.05080 · doi:10.1002/andp.201900307
Abstract
Understanding the physical significance and probing the global invariants characterizing quantum topological phases in extended systems is a main challenge in modern physics with major impact in different areas of science. Here, a quantum-information-inspired probing method is proposed where topological phase transitions are revealed by a non-Markovianity quantifier. The idea is illustrated by considering the decoherence dynamics of an external read-out qubit that probes a Su-Schrieffer-Heeger (SSH) chain with either pure dephasing or dissipative coupling. Qubit decoherence features and non-Markovianity measure clearly signal the topological phase transition of the SSH chain.
References in corpus (71)
- Topological Insulators
- Topological insulators and superconductors
- Cavity quantum electrodynamics for superconducting electrical circuits: an architecture for quantum computation
- Topological entanglement entropy
- Edge states and topological invariants of non-Hermitian systems
- Detecting topological order in a ground state wave function
- Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
- Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
- Strong dispersive coupling of a high finesse cavity to a micromechanical membrane
- Non-Markovian dynamics in open quantum systems
- Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
- Topological Band Theory for Non-Hermitian Hamiltonians
- Anomalous edge state in a non-Hermitian lattice
- Direct Measurement of the Zak phase in Topological Bloch Bands
- Quantum Non-Markovianity: Characterization, Quantification and Detection
- Dynamical Quantum Phase Transitions in the Transverse Field Ising Model
- Anatomy of skin modes and topology in non-Hermitian systems
- Edge Modes, Degeneracies, and Topological Numbers in Non-Hermitian Systems
- Probing topological invariants in the bulk of a non-Hermitian optical system
- Decay of Loschmidt Echo Enhanced by Quantum Criticality
- Topolectrical circuits
- Identifying Topological Order by Entanglement Entropy
- Observation of topologically protected bound states in a one dimensional photonic system
- Experimental control of the transition from Markovian to non-Markovian dynamics of open quantum systems
- Exploring Topological Phases With Quantum Walks
- Hybrid higher-order skin-topological modes in non-reciprocal systems
- Second-Order Topological Phases in Non-Hermitian Systems
- Topological phase transition in non-Hermitian quasicrystals
- Dispersive optomechanics: a membrane inside a cavity
- Observation of the topological Anderson insulator in disordered atomic wires
- General non-Markovian dynamics of open quantum systems
- New topological invariants in non-Hermitian systems
- Concepts of quantum non-Markovianity: a hierarchy
- Detection of Zak phases and topological invariants in a chiral quantum walk of twisted photons
- Unconventional quantum optics in topological waveguide QED
- Detecting topological invariants in nonunitary discrete-time quantum walks
- Observation of Lee-Yang zeros
- Measuring topology by dynamics: Chern number from linking number
- Measurement of topological invariants in a 2D photonic system
- Direct imaging of topological edge states in cold-atom systems
- Dynamical moments reveal a topological quantum transition in a photonic quantum walk
- Uncover Topology by Quantum Quench Dynamics
- Quantum Quenches in Chern Insulators
- Measuring Topological Number of a Chern-Insulator from Quench Dynamics
- Observation of symmetry-protected topological band with ultracold fermions
- Topological non-Hermitian origin of surface Maxwell waves
- Dynamical classification of topological quantum phases
- Dynamical Topological Quantum Phase Transitions for Mixed States
- Non-Markovianity, Loschmidt echo and criticality: a unified picture
- Multipartite entanglement in topological quantum phases
- Probing Lee-Yang zeros and coherence sudden death
- Quantifying Non-Markovianity with Temporal Steering
- Memory-keeping effects and forgetfulness in the dynamics of a qubit coupled to a spin chain
- Direct Probe of Topological Invariants Using Bloch Oscillating Quantum Walks
- Dynamical Buildup of a Quantized Hall Response from Non-Topological States
- Shiba impurity bound states as a probe of topological superconductivity and Fermion parity changing quantum phase transitions
- An effective method of calculating the non-Markovianity for single channel open systems
- Proposed method for direct measurement of non-Markovian character of the qubits coupled to bosonic reservoirs
- Persistent Hall response in a quantum quench
- Characterization of topological states via dual multipartite entanglement
- Universal impurity-induced bound state in topological superfluids
- Complex quantum networks as structured environments: engineering and probing
- On the spectral origin of non-Markovianity: an exact finite model
- Tuning non-Markovianity by spin-dynamics control
- Probing the Full Distribution of Many-Body Observables by Single-Qubit Interferometry
- Quantum non-Markovianity induced by Anderson localization
- Response functions as quantifiers of non-Markovianity
- Quantum Phase Transition and Entanglement in Topological Quantum Wires
- Loschmidt echo and fidelity decay near an exceptional point
- Bose-Hubbard lattice as a controllable environment for open quantum systems
- Memory effects in a quasi-periodic Fermi lattice
Cited by in corpus (9)
- Topological multi-mode waveguide QED
- Quantum metrology in a non-Markovian quantum evolution
- Topological Protection and Control of Quantum Markovianity
- Impurity dephasing in a Bose-Hubbard model
- Non-Markovian to Markovian decay in structured environments with correlated disorder
- Read-out of Quasi-periodic Systems using Qubits
- Unitary Evolutions Sourced By Interacting Quantum Memories: Closed Quantum Systems Directing Themselves Using Their State Histories
- Memory-Critical Dynamical Buildup of Phonon-Dressed Majorana Fermions
- Markovian to non-Markovian phase transition in the operator dynamics of a mobile impurity