Transient dynamical phase diagram of the spin-boson model

• URL: http://arxiv.org/abs/2402.18561v1
• Date: Wed, 28 Feb 2024 18:52:23 GMT
• Title: Transient dynamical phase diagram of the spin-boson model
• Authors: Olga Goulko, Hsing-Ta Chen, Moshe Goldstein, Guy Cohen
• Abstract summary: We investigate the real-time dynamics of the sub-Ohmic spin-boson model across a broad range of coupling strengths. We extract signatures of the zero-temperature quantum phase transition between localized and delocalized states. We identify and quantitatively analyze two competing mechanisms for the crossover between coherent oscillations and incoherent decay.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We investigate the real-time dynamics of the sub-Ohmic spin-boson model across a broad range of coupling strengths, using the numerically exact inchworm quantum Monte Carlo algorithm. From short- and intermediate-time dynamics starting from an initially decoupled state, we extract signatures of the zero-temperature quantum phase transition between localized and delocalized states. We show that the dynamical phase diagram thus obtained differs from the equilibrium phase diagram in both the values of critical couplings and the associated critical exponents. We also identify and quantitatively analyze two competing mechanisms for the crossover between coherent oscillations and incoherent decay. Deep in the sub-Ohmic regime, the crossover is driven by the damping of the oscillation amplitude, while closer to the Ohmic regime the oscillation frequency itself drops sharply to zero at large coupling.

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