Quantum phase transition in the sub-Ohmic spin-boson model: An extended coherent-state approach

2009/12/31 by Yuyu Zhang, Yu-Yu Zhang, Qing-Hu Chen +3
Computer Science · Physics and Astronomy · #Boson #Coherent states #Coupling (piping) #Phase transition #Physics #Quantum #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum electrodynamics #Quantum mechanics #Quantum phase transition #Qubit #Spectroscopy and Quantum Chemical Studies #Spin (aerodynamics) #cond-mat.quant-gas #cond-mat.stat-mech

paper · pdf · doi:10.1103/physrevb.81.121105

published as Phys. Rev. B 81, 121105 (R)(2010) · 4 pages, 3 figures

openalex publication_date 2010/03/26 · arxiv created 2010/03/30 · arxiv updated 2015/05/14 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We propose a general extended coherent state approach to the qubit (or fermion) and multimode boson coupling systems. The application to the spin-boson model with the discretization of a bosonic bath with arbitrary continuous spectral density is described in detail, and very accurate solutions can be obtained. The quantum phase transition in the nontrivial sub-Ohmic case can be located by the fidelity and the order-parameter critical exponents for the bath exponents s<1/2 can be correctly given by the fidelity susceptibility, demonstrating the strength of the approach.

Citations

• Density matrix renormalization group approach to the spin-boson model
• Decay of Loschmidt Echo Enhanced by Quantum Criticality
• Hole Interactions with Molecular Vibrations on DNA
• Universal and Measurable Entanglement Entropy in the Spin-Boson Model
• Quantum-state engineering with Josephson-junction devices
• Numerical Renormalization Group for Bosonic Systems and Application to the Sub-Ohmic Spin-Boson Model
• Dynamics of the dissipative two-state system