Memory effects in a quasi-periodic Fermi lattice

Abstract

We investigate a system of fermions trapped in a quasi-periodic potential from an open quantum system theory perspective, designing a protocol in which an impurity atom (a two level system) is coupled to a trapped fermionic cloud described by the non-interacting Aubry-André model. The Fermi system is prepared in a charge density wave state before it starts its relaxation. In this work we focus our attention on the time evolution of the impurity in such an out of equilibrium environment, and study whether the induced dynamics can be classified as Markovian or non-Markovian. We find how the localised phase of the Aubry-André model displays evidence of strong and stable memory effects and can be considered as a controllable and robust non-Markovian environment.

References in corpus (23)

• Anderson localization of a non-interacting Bose-Einstein condensate
• Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
• Non-Markovian dynamics in open quantum systems
• Entanglement and non-Markovianity of quantum evolutions
• Ultrafast many-body interferometry of impurities coupled to a Fermi sea
• Observation of Slow Dynamics near the Many-Body Localization Transition in One-Dimensional Quasiperiodic Systems
• Operational Markov condition for quantum processes
• Geometrical characterization of non-Markovianity
• Probing Slow Relaxation and Many-Body Localization in Two-Dimensional Quasi-Periodic Systems
• Exponential localization in one-dimensional quasiperiodic optical lattices
• Time dependent impurity in ultracold fermions: orthogonality catastrophe and beyond
• Universal many-body response of heavy impurities coupled to a Fermi sea
• Orthogonality catastrophe as a consequence of qubit embedding in an ultra-cold Fermi gas
• Non-local Adiabatic Response of a Localized System to Local Manipulations
• Thermometry of ultracold atoms via non-equilibrium work distributions
• Orthogonality catastrophe and decoherence in a trapped-Fermion environment
• Nondestructive Probing of Means, Variances, and Correlations of Ultracold-Atomic-System Densities via Qubit Impurities
• Exponential Orthogonality Catastrophe in Single-Particle and Many-Body Localized Systems
• Quantum non-Markovianity induced by Anderson localization
• Bose-Hubbard lattice as a controllable environment for open quantum systems
• Characterizing time-irreversibility in disordered fermionic systems by the effect of local perturbations
• Signatures of the single particle mobility edge in the ground state properties of Tonks-Girardeau and non-interacting Fermi gases in a bichromatic potential
• Statistics of orthogonality catastrophe events in localised disordered lattices

Cited by in corpus (9)

• Quantum stochastic processes and quantum non-Markovian phenomena
• Topological Protection and Control of Quantum Markovianity
• Dephasing dynamics of an impurity coupled to an anharmonic environment
• Impurity dephasing in a Bose-Hubbard model
• Quantum probing topological phase transitions by non-Markovianity
• Non-Markovian to Markovian decay in structured environments with correlated disorder
• Read-out of Quasi-periodic Systems using Qubits
• Interacting electrons in a flat-band system within the Generalized Kadanoff-Baym Ansatz
• Non-markovianity and bound states in quantum walks with a phase impurity