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The Hidden Phase of the Spin-Boson Model

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arxiv 2208.10313 v2 pith:D3NF7UGN submitted 2022-08-22 cond-mat.stat-mech

The Hidden Phase of the Spin-Boson Model

classification cond-mat.stat-mech
keywords dynamicsphasequantumbathcoherentdiagramoscillatorysystem
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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