Accelerating Relaxation Dynamics in Open Quantum System with Liouvillian Skin Effect

Abstract

We investigate a non-Hermitian model featuring non-reciprocal gradient hoppings. Through an in-depth analysis of the Liouvillian spectrum and dynamics, we confirm the emergence of the Liouvillian skin effect resulting from the non-reciprocal nature of hoppings in this model. Furthermore, we observe that the presence of gradient hopping strength leads to an accelerated relaxation time for the system. Through numerical investigations of the Liouvillian gap, relaxation time, and steady-state localization length, we discover that the relaxation time in this model cannot be explained by the currently established relationship associated with the Liouvillian skin effect. This discrepancy highlights the need for further exploration and theoretical advancements to fully comprehend the intricate mechanisms underlying quantum relaxation processes. Motivated by these findings, we propose a theoretical approach to realize this non-Hermitian model in an atomic system with a sideband structure by employing adiabatic elimination technique. These results contribute to our deeper comprehension of quantum relaxation dynamics and provide theoretical backing for the development of techniques aimed at controlling quantum relaxation processes.

arXiv comment9 pages, 6 figures, To be published in PRB

References in corpus (26)

• Edge states and topological invariants of non-Hermitian systems
• Non-Hermitian Physics
• Quantum computing with trapped ions
• Anomalous edge state in a non-Hermitian lattice
• Non-Hermitian skin effect and chiral damping in open quantum systems
• Symmetries and conserved quantities in Lindblad master equations
• Spectral theory of Liouvillians for dissipative phase transitions
• Topological Non-Hermitian skin effect
• Effective operator formalism for open quantum systems
• Cooling a single atom in an optical tweezer to its quantum ground state
• Engineered Dissipation for Quantum Information Science
• Resolved-sideband Raman cooling to the ground state of an optical lattice
• Algebraic versus exponential decoherence in dissipative many-particle systems
• Quantum-Enhanced Sensing Based on Time Reversal of Nonlinear Dynamics
• Relaxation times of dissipative many-body quantum systems
• Liouvillian Skin Effect: Slowing Down of Relaxation Processes without Gap Closing
• Spin-mixing Interferometry with Bose-Einstein Condensates
• Liouvillian Skin Effect in an Exactly Solvable Model
• Diffusion anomalies in ac driven Brownian ratchets
• Manipulating non-Hermitian skin effect via electric fields
• Anomalously large relaxation times in dissipative lattice models beyond the non-Hermitian skin effect
• Quantum non-stationary phenomena of spin systems in collision models
• Synchronization of persistent oscillations in spin systems with non-local dissipations
• Fast Cooling of Trapped Ion in Strong Sideband Coupling Regime
• Spinor Bose-Einstein Condensate Interferometer within the Undepleted Pump Approximation: Role of the Initial State
• Degenerate Raman sideband cooling of 40K atoms

Cited by in corpus (14)

• Interaction-induced Liouvillian skin effect in a fermionic chain with a two-body loss
• Exploring the impact of fluctuation-induced criticality on non-hermitian skin effect and quantum sensors
• Non-Unitary Quantum Many-Body Dynamics using the Faber Polynomial Method
• Boundary sensitive Lindbladians and relaxation dynamics
• Non-Markovian skin effect
• The Interplay of Finite and Infinite Size Stability in Quadratic Bosonic Lindbladians
• Asymmetries of thermal processes in open quantum systems
• Lindbladian versus Postselected Non-Hermitian Topology
• Delocalization of skin steady states
• Manipulating the Relaxation Time of Boundary-Dissipative Systems through Bond Dissipation
• Family of Exact and Inexact Quantum Speed Limits for Completely Positive and Trace-Preserving Dynamics
• Optical pumping through the Liouvillian skin effect
• Symmetry-induced fragmentation and dissipative time crystal
• Liouvillian skin effects in two-dimensional electron systems at finite temperatures