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.

arXiv comment9 pages, 5 figures

References in corpus (35)

• The density-matrix renormalization group in the age of matrix product states
• Quantum trajectories and open many-body quantum systems
• Time-dependent variational principle for quantum lattices
• Lieb-Robinson bounds and the generation of correlations and topological quantum order
• Time-evolution methods for matrix-product states
• Experimental control of the transition from Markovian to non-Markovian dynamics of open quantum systems
• Efficient non-Markovian quantum dynamics using time-evolving matrix product operators
• Non-Markovian quantum jumps
• The non-Markovian stochastic Schrodinger equation for open systems
• Tunable-range, photon-mediated atomic interactions in multimode cavity QED
• Hierarchy of stochastic pure states for open quantum system dynamics
• Atomic quantum dots coupled to BEC reservoirs
• Environment-assisted quantum transport in a 10-qubit network
• Quantifying, characterizing and controlling information flow in ultracold atomic gases
• Time evolution of correlations in strongly interacting fermions after a quantum quench
• Density Matrix Approach to Local Hilbert Space Reduction
• Quantum Heat Current under Non-perturbative and Non-Markovian Conditions: Applications to Heat Machines
• Linear quantum state diffusion for non-Markovian open quantum systems
• Supermode-Density-Wave-Polariton Condensation
• Simulation of indivisible qubit channels in collision models
• Efficient exploration of Hamiltonian parameter space for optimal control of non-Markovian open quantum systems
• Band and correlated insulators of cold fermions in a mesoscopic lattice
• Exact open quantum system dynamics using the Hierarchy of Pure States (HOPS)
• Atom-only descriptions of the driven-dissipative Dicke model
• Phonon dispersion and the competition between pairing and charge order
• Collective strong coupling in multimode cavity QED
• Hierarchical equations for open system dynamics in fermionic and bosonic environments
• Charge-density-wave melting in the one-dimensional Holstein model
• Efficient and Flexible Approach to Simulate Low-Dimensional Quantum Lattice Models with Large Local Hilbert Spaces
• Comparative Study of State-of-the-Art Matrix-Product-State Methods for Lattice Models with Large Local Hilbert Spaces
• Exact Quantum Dynamics in Structured Environments
• Atom-only theories for U(1) symmetric cavity-QED models
• Correlated singlet phase in the one-dimensional Hubbard-Holstein model
• Proposal for a continuous wave laser with linewidth well below the standard quantum limit
• Dissipative dynamics and cooling rates of trapped impurity atoms immersed in a reservoir gas

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