Light-cone and diffusive propagation of correlations in a many-body dissipative system

Abstract

We analyze the propagation of correlations after a sudden interaction change in a strongly interacting quantum system in contact with an environment. In particular, we consider an interaction quench in the Bose-Hubbard model, deep within the Mott-insulating phase, under the effect of dephasing. We observe that dissipation effectively speeds up the propagation of single-particle correlations while reducing their coherence. In contrast, for two-point density correlations, the initial ballistic propagation regime gives way to diffusion at intermediate times. Numerical simulations, based on a time-dependent matrix product state algorithm, are supplemented by a quantitatively accurate fermionic quasi-particle approach providing an intuitive description of the initial dynamics in terms of holon and doublon excitations.

5 pages, 3 figures

References in corpus (10)

• Many-Body Physics with Ultracold Gases
• Real time evolution using the density matrix renormalization group
• Matrix Product Density Operators: Simulation of finite-T and dissipative systems
• Electrodynamics of Correlated Electron Materials
• Ultrafast optical spectroscopy of strongly correlated materials and high-temperature superconductors: a non-equilibrium approach
• Signatures of Many-Body Localization in a Controlled Open Quantum System
• "Light-cone" dynamics after quantum quenches in spin chains
• Non-equilibrium dynamics of bosonic atoms in optical lattices: Decoherence of many-body states due to spontaneous emission
• Heating from Continuous Number Density Measurements in Optical Lattices
• Killing of Transport in Lattices driven by Local Quantum Stochastic Dynamics

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• Prethermal memory loss in interacting quantum systems coupled to thermal baths
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• Dissipative dynamics in the free massive boson limit of the sine-Gordon model
• Breakdown of Linear Spin-Wave Theory in a Non-Hermitian Quantum Spin Chain
• Quench dynamics of edge states in a finite extended Su-Schrieffer-Heeger system
• From Light-Cone to Supersonic Propagation of Correlations by Competing Short- and Long-Range Couplings
• Interaction-impeded relaxation in the presence of finite temperature baths
• Entanglement dynamics in dissipative photonic Mott insulators