Symmetry and the critical phase of the two-bath spin-boson model: Ground-state properties
arXiv:1505.01906 · doi:10.1103/PhysRevB.91.195129
Abstract
A generalized trial wave function termed as the "multi-D1 Ansatz" has been developed to study the ground state of the spin-boson model with simultaneous diagonal and off-diagonal coupling in the sub-Ohmic regime. Ground-state properties including the energy and the spin polarization are investigated, and the results are consistent with those from the exact diagonalization and density matrix renormalization group approaches for the cases involving two oscillators and two baths described by a continuous spectral density function. Breakdown of the rotational and parity symmetries along the continuous quantum phase transition separating the localized phase from the critical phase has been uncovered. Moreover, the phase boundary is determined accurately with the corresponding symmetry parameters of the rotational and parity symmetries. A critical value of the spectral exponent s* = 0.49(1) is predicted in the weak coupling limit, which is in agreement with the mean-field prediction of 1/2, but much smaller than the earlier literature estimate of 0.75(1).
arXiv comment18 pages, 26 figures, to appear in PRB
References in corpus (39)
- Charge insensitive qubit design derived from the Cooper pair box
- Quantum state engineering with Josephson-junction devices
- Manipulating the Quantum State of an Electrical Circuit
- Superconducting Circuits and Quantum Information
- Numerical Renormalization Group for Bosonic Systems and Application to the Subohmic Spin-Boson Model
- Numerical Renormalization Group for Quantum Impurities in a Bosonic Bath
- The quantum phase transition in the sub-ohmic spin-boson model: Quantum Monte-Carlo study with a continuous imaginary time cluster algorithm
- Quantum phase transitions in the sub-ohmic spin-boson model: Failure of the quantum-classical mapping
- Observation of a Dissipation-Induced Classical to Quantum Transition
- Equilibrium and non-equilibrium dynamics of the sub-ohmic spin-boson model
- Quantum Impurities in the Two-Dimensional Spin One-Half Heisenberg Antiferromagnet
- Quantum impurity dynamics in two-dimensional antiferromagnets and superconductors
- Critical and strong-coupling phases in one- and two-bath spin-boson models
- Critical local moment fluctuations in the Bose-Fermi Kondo model
- Dynamics, Synchronization and Quantum Phase Transitions of Two Dissipative Spins
- On the spin--boson model with a sub--Ohmic bath
- Sparse polynomial space approach to dissipative quantum systems: Application to the sub-ohmic spin-boson model
- Entanglement between a qubit and the environment in the spin-boson model
- Quantum phase transitions in the Bose-Fermi Kondo model
- Entanglement and Criticality in Quantum Impurity Systems
- A generalized multi-polaron expansion for the spin-boson model: Environmental entanglement and the biased two-state system
- Quantum Phase Transition in the Sub-Ohmic Spin-Boson Model: Extended Coherent-state Approach
- Crossover from nonadiabatic to adiabatic electron transfer reactions: Multilevel blocking Monte Carlo simulations
- Stabilizing Spin Coherence Through Environmental Entanglement in Strongly Dissipative Quantum Systems
- Incoherent Excitation of Thermally Equilibrated Open Quantum Systems
- Quantum Magnetic Impurities in Magnetically Ordered Systems
- Thermal conductance in a spin-boson model: Cotunneling and low temperature properties
- Ground state and dynamics of the biased dissipative two-state system: Beyond variational polaron theory
- Exact dynamics of quantum correlations of two qubits coupled to bosonic baths
- Separation-dependent localization in a two-impurity spin-boson model
- Ground state properties of sub-Ohmic spin-boson model with simultaneous diagonal and off-diagonal coupling
- Two-bath spin-boson model: Phase diagram and critical properties
- Entanglement dynamics of a two-qubit system coupled individually to Ohmic baths
- Quantum impurity models of noisy qubits
- Electron transfer rates for asymmetric reactions
- Spin-Boson Model with Diagonal and Off-Diagonal Coupling to Two Independent Baths: Ground-State Phase Transition in the Deep Sub-Ohmic Regime
- Sub-Ohmic spin-boson model with off-diagonal coupling: Ground state properties
- Non-Markovian qubit dynamics in a circuit-QED setup
- Local magnetic impurities in the 2D quantum Heisenberg antiferromagnet
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