Many-body quantum state diffusion for non-Markovian dynamics in strongly interacting systems

Abstract

Capturing non-Markovian dynamics of open quantum systems is generally a challenging problem, especially for strongly-interacting many-body systems. In this work, we combine recently developed non-Markovian quantum state diffusion techniques with tensor network methods to address this challenge. As a first example, we explore a Hubbard-Holstein model with dissipative phonon modes, where this new approach allows us to quantitatively assess how correlations spread in the presence of non-Markovian dissipation in a 1D many-body system. We find regimes where correlation growth can be enhanced by these effects, offering new routes for dissipatively enhancing transport and correlation spreading, relevant for both solid state and cold atom experiments.

9 pages, 5 figures

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Cited by in corpus (24)

• Unified theory of local quantum many-body dynamics: Eigenoperator thermalization theorems
• Hierarchical equations of motion approach to hybrid fermionic and bosonic environments: Matrix product state formulation in twin space
• Open Quantum System Dynamics from Infinite Tensor Network Contraction
• Tensor network simulation of chains of non-Markovian open quantum systems
• Non-Markovian Stochastic Schrödinger Equation: Matrix Product State Approach to the Hierarchy of Pure States
• Diagrammatic method for many-body non-Markovian dynamics: memory effects and entanglement transitions
• OQuPy: A Python package to efficiently simulate non-Markovian open quantum systems with process tensors
• Fingerprint and universal Markovian closure of structured bosonic environments
• Atomic Quantum Technologies for Quantum Matter and Fundamental Physics Applications
• Controlling Matter Phases beyond Markov
• Stable bipolarons in open quantum systems
• Non-Markovian Quantum State Diffusion for Spin Environments
• Non-Markovian environment induced Schrödinger cat state transfer in an optical Newton's cradle
• Effects of non-Markovian squeezed bath on the dynamics of open systems
• Exact Hidden Markovian Dynamics in Quantum Circuits
• Spectral theory of non-Markovian dissipative phase transitions
• Quantum energy current and quantum coherence of a spin chain in a non-Markovian environment
• Memory effects in multipartite systems coupled by non-diagonal dephasing mechanisms
• Real-time propagation of adaptive sampling selected configuration interaction wave function
• nuHOPS: A quantum trajectory method for highly excited environments in non-Markovian open quantum dynamics
• Optimal encoding of two dissipative interacting qubits
• Dynamics of a driven open double two-level system and its entanglement generation
• Environment-Mediated Long-Ranged Correlations in Many-Body System
• Extended Non-Markovian Stochastic Schrödinger Equation with Complex Frequency Modes for General Basis Functions