Quantum criticality of the Ohmic spin-boson model in a high dense spectrum: symmetries,quantum fluctuations and correlations
arXiv:2106.07810 · doi:10.1016/j.physa.2021.126157
Abstract
Study of dissipative quantum phase transitions in the Ohmic spin-boson model is numerically challenging in a dense limit of environmental modes. In this work, large-scale numerical simulations are carried out based on the variational principle. The validity of variational calculations, spontaneous breakdown of symmetries, and quantum fluctuations and correlations in the Ohmic bath are carefully analyzed, and the critical coupling as well as exponents are accurately determined in the weak tunneling and continuum limits. In addition, quantum criticality of the Ohmic bath is uncovered both in the delocalized phase and at the transition point.
arXiv comment21 pages, 6 figures
References in corpus (37)
- Non-Markovian dynamics in open quantum systems
- Quantum Equivalence and Quantum Signatures in Heat Engines
- Numerical Renormalization Group for Bosonic Systems and Application to the Subohmic Spin-Boson Model
- Numerical Renormalization Group for Quantum Impurities in a Bosonic Bath
- Quantum phase transitions in the sub-ohmic spin-boson model: Failure of the quantum-classical mapping
- The quantum phase transition in the sub-ohmic spin-boson model: Quantum Monte-Carlo study with a continuous imaginary time cluster algorithm
- Spontaneous two photon emission from a single quantum dot
- Mesoscopic Spin-Boson Models of Trapped Ions
- Entanglement Entropy, decoherence, and quantum phase transition of a dissipative two-level system
- 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
- Dynamics, Synchronization and Quantum Phase Transitions of Two Dissipative Spins
- Sparse polynomial space approach to dissipative quantum systems: Application to the sub-ohmic spin-boson model
- Probing the strongly driven spin-boson model in a superconducting quantum circuit
- Entanglement and Criticality in Quantum Impurity Systems
- Superradiant phase transition in the ultrastrong coupling regime of the two-photon Dicke model
- 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
- Fast, accurate simulation of polaron dynamics and multidimensional spectroscopy by multiple Davydov trial states
- Variational dynamics of the sub-Ohmic spin-boson model on the basis of multiple Davydov states
- Quantum simulation of the spin-boson model with a microwave circuit
- Polaron dynamics with a multitude of Davydov D trial states
- Finite-temperature time-dependent variation with multiple Davydov states
- Ground state and dynamics of the biased dissipative two-state system: Beyond variational polaron theory
- 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
- Anatomy of quantum critical wave functions in dissipative impurity problems
- Symmetry and the critical phase of the two-bath spin-boson model: Ground-state properties
- The quantum phase transition and correlations in the multi-spin-boson model
- Universal spatial correlations in the anisotropic Kondo screening cloud: analytical insights and numerically exact results from a coherent state expansion
- Quantum Phase Transitions in the Spin-Boson model: MonteCarlo Method vs Variational Approach a la Feynman
- Variational study of two-impurity spin-boson model with a common Ohmic bath: Ground-state phase transitions
- Matrix Product State Representation without explicit local Hilbert Space Truncation with Applications to the Sub-Ohmic Spin-Boson Model
- Rich phase diagram of quantum phases in the anisotropic subohmic spin-boson model
- Improved Silbey-Harris polaron ansatz for the spin-boson model
- Microwave Scattering in the Subohmic Spin-Boson Systems of Superconducting Circuits
- Quantum annealing in spin-boson model: from a perturbative to a ultrastrong mediated coupling
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