Non-Markovian skin effect
arXiv:2403.14455 · doi:10.1103/PhysRevResearch.7.L012068
Abstract
The Liouvillian skin effect and the non-Hermitian skin effect have both been used to explain the localization of eigenmodes near system boundaries, though the former is arguably more accurate in some regimes due to its incorporation of quantum jumps. However, these frameworks predominantly focus on weak Markovian interactions, neglecting the potentially crucial role of memory effects. To address this, we investigate, utilizing the powerful hierarchical equations of motion method, how a non-Markovian environment can modify the Liouvillian skin effect. We demonstrate that a non-Markovian environment can induce a ``thick skin effect", where the skin mode broadens and shifts into the bulk. {We further identify that the skin-mode quantum coherence can only be generated when the coupling contains counter-rotating terms}, leading to the coherence-delocalization and oscillatory relaxation with a characteristic linear scaling with system size. Remarkably, both the skin-mode and steady-state coherence exhibit resistance to decoherence from additional environmental noise. These findings highlight the profound impact of system-bath correlations on relaxation and localization, revealing unique phenomena beyond conventional Markovian approximations.
15 pages, 9 figures
References in corpus (78)
- Quantifying Coherence
- Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
- Ultrastrong coupling between light and matter
- Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices
- Non-Markovian dynamics in open quantum systems
- Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices
- Efficient Light Funneling based on the non-Hermitian Skin Effect
- Quantum Metrology in Non-Markovian Environments
- Non-Hermitian skin effect and chiral damping in open quantum systems
- Experimental control of the transition from Markovian to non-Markovian dynamics of open quantum systems
- Perspective: Numerically "exact" approach to open quantum dynamics: The hierarchical equations of motion (HEOM)
- Hybrid higher-order skin-topological modes in non-reciprocal systems
- Quantum exceptional points of non-Hermitian Hamiltonians and Liouvillians: The effects of quantum jumps
- Non-Hermitian Topological Sensors
- Spectral theory of Liouvillians for dissipative phase transitions
- Reciprocal skin effect and its realization in a topolectrical circuit
- Interplay of non-Hermitian skin effects and Anderson localization in non-reciprocal quasiperiodic lattices
- Acoustic non-Hermitian skin effect from twisted winding topology
- Observation of higher-order non-Hermitian skin effect
- Topological Non-Hermitian skin effect
- Topology-Induced Spontaneous Non-reciprocal Pumping in Cold-Atom Systems with Loss
- Non-Markovian effect on the quantum discord
- Robust light transport in non-Hermitian photonic lattices
- Cooling a single atom in an optical tweezer to its quantum ground state
- Nonexponential decay of a giant artificial atom
- Tunable non-reciprocal quantum transport through a dissipative Aharonov-Bohm ring in ultracold atoms
- Counting Statistics of Non-Markovian Quantum Stochastic Processes
- Entanglement Phase Transition Induced by the Non-Hermitian Skin Effect
- Hierarchical Liouville-space approach for accurate and universal characterization of quantum impurity systems
- Ultra strong coupling regime and plasmon-polaritons in parabolic semiconductor quantum wells
- Liouvillian Skin Effect: Slowing Down of Relaxation Processes without Gap Closing
- Spontaneous Conversion from Virtual to Real Photons in the Ultrastrong Coupling Regime
- Hybrid-Liouvillian formalism connecting exceptional points of non-Hermitian Hamiltonians and Liouvillians via postselection of quantum trajectories
- Non-Hermitian transparency and one-way transport in low-dimensional lattices by an imaginary gauge field
- Virtual excitations in the ultra-strongly-coupled spin-boson model: physical results from unphysical modes
- Electromagnetic coupling in tight-binding models for strongly correlated light and matter
- Emergent Fermi surface in a many-body non-Hermitian Fermionic chain
- Quantum Heat Current under Non-perturbative and Non-Markovian Conditions: Applications to Heat Machines
- Non-Markovian polymer reaction kinetics
- Non-Hermitian topological Mott insulators in one-dimensional fermionic superlattices
- Guided accumulation of active particles by topological design of a second-order skin effect
- Geometric Response and Disclination-Induced Skin Effects in Non-Hermitian Systems
- Non-Hermitian Skin Effects in Hermitian Correlated/Disordered Systems: Boundary-Sensitive/Insensitive Quantities and Pseudo Quantum Number
- Non-Markovian Quantum Process Tomography
- Steady-state coherences by composite system-bath interactions
- Coupled electron and phonon transport in one-dimensional atomic junctions
- Liouvillian Skin Effect in an Exactly Solvable Model
- QuTiP-BoFiN: A bosonic and fermionic numerical hierarchical-equations-of-motion library with applications in light-harvesting, quantum control, and single-molecule electronics
- Tunable phonon induced steady state coherence in a double quantum dot
- Mobility of Holstein polaron: an unbiased approach
- Non-reciprocal transport of Exciton-Polaritons in a non-Hermitian chain
- Many-body protected entanglement generation in interacting spin systems
- Simulating Chern insulators on a superconducting quantum processor
- Non-Abelian effects in dissipative photonic topological lattices
- Using the Environment to Understand non-Markovian Open Quantum Systems
- Disorder-driven Phase Transitions of Second-order Non-Hermitian Skin Effects
- Nonreciprocal Charge and Spin Transport Induced by Non-Hermitian Skin Effect in Mesoscopic Heterojunctions
- Non-Markovian Quantum Exceptional Points
- Quantum metrology in a non-Markovian quantum evolution
- Probing photoisomerization processes by means of multi-dimensional electronic spectroscopy: The multi-state quantum hierarchical Fokker-Planck equation approach
- Compatibility of transport effects in non-Hermitian nonreciprocal systems
- Collectively induced exceptional points of quantum emitters coupled to nanoparticle surface plasmons
- Anomalously large relaxation times in dissipative lattice models beyond the non-Hermitian skin effect
- Exciton Transfer in Organic Photovoltaic Cells: A Role of Local and Nonlocal Electron-Phonon Interactions in a Donor Domain
- Interaction-induced Liouvillian skin effect in a fermionic chain with a two-body loss
- Topological enhancement of non-normality in non-Hermitian skin effects
- The Fermionic influence superoperator: a canonical derivation for the development of methods to simulate the influence of a Fermionic environment on a quantum system with arbitrary parity symmetry
- HierarchicalEOM.jl: An efficient Julia framework for hierarchical equations of motion in open quantum systems
- Enhancing quantum transport efficiency by tuning non-Markovian dephasing
- Numerically "exact" simulations of a quantum Carnot cycle: Analysis using thermodynamic work diagrams
- Detecting non-Markovian plasmonic band gaps in quantum dots using electron transport
- Accelerating Relaxation Dynamics in Open Quantum System with Liouvillian Skin Effect
- Optical response of laser-driven charge-transfer complex described by Holstein-Hubbard model coupled to heat baths: Hierarchical equations of motion approach
- Controlling Matter Phases beyond Markov
- Kondo QED: The Kondo effect and photon trapping in a two-impurity Anderson model ultra-strongly coupled to light
- Degenerate Raman sideband cooling of 40K atoms
- Probing higher-order transitions through scattering of microwave photons in the ultrastrong-coupling regime of circuit QED
- Controlling periodic Fano resonances of quantum acoustic waves with a giant atom coupled to microwave waveguide
Cited by in corpus (4)
- QuantumToolbox.jl: An efficient Julia framework for simulating open quantum systems
- Versatile Control of Nonlinear Topological States in Non-Hermitian Systems
- Arbitrary Control of Non-Hermitian Skin Modes via Disorder and An Electric Field
- Liouvillian skin effects in two-dimensional electron systems at finite temperatures