Stable-unstable transition for a Bose-Hubbard chain coupled to an environment

Abstract

Interactions in quantum systems may induce transitions to exotic correlated phases of matter which can be vulnerable to coupling to an environment. Here, we study the stability of a Bose-Hubbard chain coupled to a bosonic bath at zero and non-zero temperature. We show that only above a critical interaction the chain loses bosons and its properties are significantly affected. The transition is of a different nature than the superfluid-Mott insulator transition and occurs at a different critical interaction. We explain such a stable-unstable transition by the opening of a charge gap. The comparison of accurate matrix product state simulations to approximative approaches that miss this transition reveals its many-body origin.

5 pages, 4 figures and supplementary material

References in corpus (15)

• The density-matrix renormalization group in the age of matrix product states
• Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
• Matrix Product Density Operators: Simulation of finite-T and dissipative systems
• Quantum trajectories and open many-body quantum systems
• Spin diffusion from an inhomogeneous quench in an integrable system
• Minimally Entangled Typical Thermal State Algorithms
• Exact mapping between system-reservoir quantum models and semi-infinite discrete chains using orthogonal polynomials
• Signatures of Many-Body Localization in a Controlled Open Quantum System
• Observation of the Mott Insulator to Superfluid Crossover of a Driven-Dissipative Bose-Hubbard System
• Energy transport in Heisenberg chains beyond the Luttinger liquid paradigm
• Thermal equilibration between two quantum systems
• Identifying a bath-induced Bose liquid in interacting spin-boson models
• Interacting lattice systems with quantum dissipation: a quantum Monte Carlo study
• A Nonequilibrium quantum phase transition in strongly coupled spin chains
• Emergent transport in a many-body open system driven by interacting quantum baths

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• Simulating the Dynamics of Single Photons in BosonSampling Devices with Matrix Product States
• Thermalization with detailed-balanced two-site Lindblad dissipators
• Quantum annealing of pure and random Ising chains coupled to a bosonic environment
• Thermodynamic performance of a periodically driven harmonic oscillator correlated with the baths
• Prethermal memory loss in interacting quantum systems coupled to thermal baths
• Efficient construction of the Feynman-Vernon influence functional as matrix product states
• Matrix Product States with adaptive global symmetries
• Population transfer via a finite temperature state
• Grassmann time-evolving matrix product operators: An efficient numerical approach for fermionic path integral simulations
• Non-equilibrium boundary driven quantum systems: models, methods and properties
• Dissipative features of the driven spin-fermion system
• Interaction-impeded relaxation in the presence of finite temperature baths
• Chain-mapping methods for relativistic light-matter interactions