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On the spin-boson model with a sub-ohmic bath

Stefan K. Kehrein, Andreas Mielke

arXiv:cond-mat/9602022Physics Letters AAug 1, 1996114 citations

Equilibrium correlation functions of the spin-boson model with sub-Ohmic bath

Tobias Stauber, A Mielke

arXiv:cond-mat/0207414Physics Letters ADec 1, 200230 citations

Decoherence Dynamics of a Superconducting Charge Qubit Coupled to a Boson Bath and a Spin Bath

Qin-Ying Yang, Bao‐Long Liang, Ji‐Suo Wang

International Journal of Theoretical PhysicsNov 5, 20139 citations

Quantum simulation of the spin-boson model: monitoring the bath

Nicolas Roch

Bulletin of the American Physical SocietyMar 13, 20170 citations

Numerical Renormalization Group for Bosonic Systems and Application to the Sub-Ohmic Spin-Boson Model

R. Bulla, Ning-Hua Tong, Matthias Vojta C

We describe the generalization of Wilson's numerical renormalization group method to quantum impurity models with a bosonic bath, providing a general nonperturbative approach to bosonic impurity models which can access exponentially small energies and temperatures. As an application, we consider the spin-boson model, describing a two-level system coupled to a bosonic bath with power-law spectral density, J(omega) proportional to omega(s). We find clear evidence for a line of continuous quantum phase transitions for sub-Ohmic bath exponents 0<s<1; the line terminates in the well-known Kosterlitz-Thouless transition at s=1. Contact is made with results from perturbative renormalization group, and various other applications are outlined.We describe the generalization of Wilson's numerical renormalization group method to quantum impurity models with a bosonic bath, providing a general nonperturbative approach to bosonic impurity models which can access exponentially small energies and temperatures. As an application, we consider the spin-boson model, describing a two-level system coupled to a bosonic bath with power-law spectral density, J(omega) proportional to omega(s). We find clear evidence for a line of continuous quantum phase transitions for sub-Ohmic bath exponents 0<s<1; the line terminates in the well-known Kosterlitz-Thouless transition at s=1. Contact is made with results from perturbative renormalization group, and various other applications are outlined.

arXiv:cond-mat/0306708Physical Review LettersOct 24, 2003265 citations

DECOHERENCE DYNAMICS OF A FLUX QUBIT RESPECTIVELY COUPLED TO A BOSON BATH AND A SPIN BATH

Bao‐Long Liang, Ji‐Suo Wang, Xiang‐Guo Meng +1 more

In this paper, we investigate the dynamical evolution and the decoherence of a single flux qubit due to its coupling with the external environment bath. We consider two typical baths: boson bath and spin bath. It is shown that, at low but finite temperature, if the two typical baths have smooth and continuous spectrum, the dynamics of the system is in general non-Markovian though of finite memory time. Most important of all, affected by the external environment bath, the flux qubit exhibits resonance of the coherence of the qubit. Comparing with the spin bath, the boson bath's destruction of the coherence is more serious.In this paper, we investigate the dynamical evolution and the decoherence of a single flux qubit due to its coupling with the external environment bath. We consider two typical baths: boson bath and spin bath. It is shown that, at low but finite temperature, if the two typical baths have smooth and continuous spectrum, the dynamics of the system is in general non-Markovian though of finite memory time. Most important of all, affected by the external environment bath, the flux qubit exhibits resonance of the coherence of the qubit. Comparing with the spin bath, the boson bath's destruction of the coherence is more serious.

International Journal of Modern Physics BAug 16, 20133 citations

Sub-exponential spin-boson decoherence in a finite bath

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