The Hidden Phase of the Spin-Boson Model

Abstract

A quantum two-level system immersed in a sub-Ohmic bath experiences enhanced low-frequency quantum statistical fluctuations which render the nonequilibrium quantum dynamics highly non-Markovian. Upon using the numerically exact time-evolving matrix product operator approach, we investigate the phase diagram of the polarization dynamics. In addition to the known phases of damped coherent oscillatory dynamics and overdamped decay, we identify a new third region in the phase diagram for strong coupling showing an aperiodic behaviour. We determine the corresponding phase boundaries. The dynamics of the quantum two-state system herein is not coherent by itself but slaved to the oscillatory bath dynamics.

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• Grassmann Time-Evolving Matrix Product Operators for Equilibrium Quantum Impurity Problems
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• Dephasing and pseudo-coherent quantum dynamics in super-Ohmic environments
• Infinite Grassmann Time-Evolving Matrix Product Operator Method in the Steady State
• Fast quantum state preparation and bath dynamics using non-Gaussian variational ansatz and quantum optimal control
• Efficient construction of the Feynman-Vernon influence functional as matrix product states
• Spectral theory of non-Markovian dissipative phase transitions
• Transient dynamical phase diagram of the spin-boson model
• Grassmann time-evolving matrix product operators: An efficient numerical approach for fermionic path integral simulations
• Open quantum dynamics with variational non-Gaussian states and the truncated Wigner approximation
• Path Integral Formalism for Quantum Open Systems
• Enhancing exotic quantum fluctuations in a strongly entangled cavity BEC system
• Effective Hamiltonian approach to the quantum phase transitions in the extended Jaynes-Cummings model
• Infinite Grassmann time-evolving matrix product operator method for zero-temperature equilibrium quantum impurity problems
• Transient Dynamical Phase Diagram of the Spin-Boson Model at Finite Temperature
• Quantum criticality in sub-Ohmic systems with three competing terms: beyond conventional spin-boson physics