Uncovering nonperturbative dynamics of the biased sub-Ohmic spin-boson model with variational Matrix Product States

Abstract

We study the dynamics of the biased sub-Ohmic spin-boson model by means of a time-dependent variational matrix product state (TDVMPS) algorithm. The evolution of both the system and the environment is obtained in the weak- and the strong-coupling regimes, respectively characterized by damped spin oscillations and by a nonequilibrium process where the spin freezes near its initial state, which are explicitly shown to arise from a variety of reactive environmental quantum dynamics. We also explore the rich phenomenology of the intermediate-coupling case, a nonperturbative regime where the system shows a complex dynamical behavior, combining features of both the weakly and the strongly coupled case in a sequential, time-retarded fashion. Our work demonstrates the potential of TDVMPS methods for exploring otherwise elusive, nonperturbative regimes of complex open quantum systems, and points to the possibilities of exploiting the qualitative, real-time modification of quantum properties induced by nonequilibrium bath dynamics in ultrafast transient processes.

arXiv comment7 pages, 4 figures

References in corpus (26)

• Matrix Product Density Operators: Simulation of finite-T and dissipative systems
• Unifying time evolution and optimization with matrix product states
• Quantum Metrology in Non-Markovian Environments
• Efficient simulation of strong system-environment interactions
• Exact mapping between system-reservoir quantum models and semi-infinite discrete chains using orthogonal polynomials
• Continuous Matrix Product States for Quantum Fields
• Numerical Renormalization Group for Bosonic Systems and Application to the Subohmic Spin-Boson Model
• Impurity Quantum Phase Transitions
• The quantum phase transition in the sub-ohmic spin-boson model: Quantum Monte-Carlo study with a continuous imaginary time cluster algorithm
• Variational matrix product state approach to quantum impurity models
• Equilibrium and non-equilibrium dynamics of the sub-ohmic spin-boson model
• Mesoscopic Spin-Boson Models of Trapped Ions
• Critical and strong-coupling phases in one- and two-bath spin-boson models
• A variational description of the quantum phase transition in the sub-Ohmic spin-boson model
• Mappings of open quantum systems onto chain representations and Markovian embeddings
• Simulating open quantum dynamics with time-dependent variational matrix product states: Towards microscopic correlation of environment dynamics and reduced system evolution
• Persistence of coherent quantum dynamics at strong dissipation
• Non-Markovian Dynamics Impact on the Foundations of Statistical Mechanics
• Variational dynamics of the sub-Ohmic spin-boson model on the basis of multiple Davydov ${\mathrm{D}}_1$ states
• Ultraslow quantum dynamics in a sub-Ohmic heat bath
• Simulating generic spin-boson models with matrix product states
• Coherent control of an effective two-level system in a non-Markovian biomolecular environment
• Oscillatory dynamics and non-markovian memory in dissipative quantum systems
• Anatomy of quantum critical wave functions in dissipative impurity problems
• Quantum sweeps, synchronization, and Kibble-Zurek physics in dissipative quantum spin systems
• A spin-boson theory for charge photogeneration in organic molecules: Role of quantum coherence

Cited by in corpus (6)

• Using the Environment to Understand non-Markovian Open Quantum Systems
• Tensor Network simulation of polaron-polaritons in organic microcavities
• Heat transport via a local two-state system near thermal equilibrium
• Dynamics of the spin-boson model: the effect of bath initial conditions
• Tutorial: projector approach to master equations for open quantum systems
• Understanding and utilizing the inner bonds of process tensors