Related papers: Entanglement structure of the dynamical phases in the sub-Ohmic spin-boson model

Entanglement structure of the dynamical phases in the sub-Ohmic spin-boson model

URL: http://arxiv.org/abs/2606.20313v1
Date: Thu, 18 Jun 2026 14:47:16 GMT
Title: Entanglement structure of the dynamical phases in the sub-Ohmic spin-boson model
Abstract summary: We show that the stationary spin entanglement entropy $S_mathrmspin(t)$ reaches a stationary plateau on a timescale shorter than the polarization relaxation.<n>These results establish the stationary spin entanglement entropy as a physically informative observable.
Score: 0.3186130813218338
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: The sub-Ohmic spin-boson model exhibits three distinct dynamical regimes in its spin population dynamics, classified as coherent, incoherent, and pseudo-coherent. Whether these regimes correspond to distinct spin-bath entanglement structures remains an open question. Here we address this using tree tensor network states with projector-splitting time evolution (TTN-TDVP-PS), scanning a broad grid in the sub-Ohmic $(s, α)$ plane. We find that the spin entanglement entropy $S_\mathrm{spin}(t)$ reaches a stationary plateau on a timescale shorter than the polarization relaxation, enabling construction of a stationary entropy landscape from the stationary value $S_\mathrm{stable}$. Within this scalar entropy landscape, the entropy ridge broadly follows the population-based phase boundary at small $s$, but does not reproduce the two-branch structure at large $s$. The ridge remains single-valued within the incoherent region rather than separately tracking both population-based transitions. The Bloch-sphere representation provides a geometric interpretation of this behavior. The entropy plateau corresponds to trajectories settling onto constant-radius shells, with the ridge marking the parameters of smallest stationary Bloch radius. Mode-resolved bath entanglement shows that low-frequency modes dominate the environmental entropy scale and that coherent dynamics enhance bath-mode correlations beyond direct spin--mode correlations. These results establish the stationary spin entanglement entropy as a physically informative observable that complements population-based classifications of dissipative quantum dynamics.

Related papers

Unconventional Thermalization of a Three-Wave-Mixing Model [0.0]
We investigate the dynamics and spectral properties of a generic model with long-range three-body-interaction.<n>This model has been realized recently with a microwave Fabry-Perot cavity terminated on one end by a superconducting qubit mirror.<n>We show that this behavior is a hallmark of strong Hilbert space fragmentation driven by kinematic constraints rather than an explicit global symmetry.
arXiv Detail & Related papers (2026-07-29T15:23:42Z)
Entanglement entropy across the dynamical phase transition in the quantum $\mathcal{O}(N)$ model [0.0]
We demonstrate that the dynamical phase transition of the $mathcalO(N)$ model at large $N$ leaves universal fingerprints in the infrared structure of the entanglement spectrum.<n>Specifically, quenches at and below the critical point generate gapless low-energy entanglement modes together with logarithmic corrections to the long-time entanglement entropy.
arXiv Detail & Related papers (2026-05-22T13:10:17Z)
Dissipative quantum North-East-Center model: steady-state phase diagram, universality and nonergodic dynamics [0.0]
We study the dissipative quantum North-East-Center model.<n>We study the dynamics of minority islands of spins surrounded by a large background of spins pointing in the opposite direction.
arXiv Detail & Related papers (2025-06-23T18:05:53Z)
Information scrambling and entanglement dynamics in Floquet Time Crystals [49.1574468325115]
We study the dynamics of out-of-time-ordered correlators (OTOCs) and entanglement of entropy as measures of information propagation in disordered systems.
arXiv Detail & Related papers (2024-11-20T17:18:42Z)
Effective Hamiltonian approach to the quantum phase transitions in the extended Jaynes-Cummings model [0.0]
A complex discretization approximation for the environment is proposed to study the quantum phase transition in the extended Jaynes-Cumming model. It is found that the ground state of this effective Hamiltonian determines the spin dynamics in the single-excitation subspace.
arXiv Detail & Related papers (2023-07-25T14:11:35Z)
Machine learning in and out of equilibrium [58.88325379746631]
Our study uses a Fokker-Planck approach, adapted from statistical physics, to explore these parallels. We focus in particular on the stationary state of the system in the long-time limit, which in conventional SGD is out of equilibrium. We propose a new variation of Langevin dynamics (SGLD) that harnesses without replacement minibatching.
arXiv Detail & Related papers (2023-06-06T09:12:49Z)
Bloch Oscillations, Landau-Zener Transition, and Topological Phase Evolution in a Pendula Array [0.0]
We study the dynamics of a one-dimensional array of pendula with a mild spatial gradient in their self-frequency. We map their dynamics to the topological Su-Schrieffer-Heeger model of charged quantum particles on a lattice with alternating hopping rates in an external electric field.
arXiv Detail & Related papers (2023-05-30T20:01:52Z)
Dynamical transition from localized to uniform scrambling in locally hyperbolic systems [0.0]
We show that a wave, initially localized around a hyperbolic fixed point, features a distinct dynamical transition between these two regions. Our results suggest that the existence of this crossover is a hallmark of separatrix dynamics in integrable systems.
arXiv Detail & Related papers (2023-03-26T22:31:44Z)
Information compression at the turbulent-phase transition in cold atom gases [0.0]
We study the transition of a cold atomic cloud, driven close to a sharp electronic resonance, from a stable to a turbulent phase. From the atomic density distribution, we have computed the Shannon entropy on two different basis sets. Information compression, corresponding to a minimum in the Shannon entropy, has been observed at criticality.
arXiv Detail & Related papers (2022-11-02T21:12:43Z)
Quantum chaos and thermalization in the two-mode Dicke model [77.34726150561087]
We discuss the onset of quantum chaos and thermalization in the two-mode Dicke model. The two-mode Dicke model exhibits normal to superradiant quantum phase transition. We show that the temporal fluctuations of the expectation value of the collective spin observable around its average are small and decrease with the effective system size.
arXiv Detail & Related papers (2022-07-08T11:16:29Z)
Entanglement and correlations in fast collective neutrino flavor oscillations [68.8204255655161]
Collective neutrino oscillations play a crucial role in transporting lepton flavor in astrophysical settings. We study the full out-of-equilibrium flavor dynamics in simple multi-angle geometries displaying fast oscillations. We present evidence that these fast collective modes are generated by the same dynamical phase transition.
arXiv Detail & Related papers (2022-03-05T17:00:06Z)
Long-lived period-doubled edge modes of interacting and disorder-free Floquet spin chains [68.8204255655161]
We show that even in the absence of disorder, and in the presence of bulk heating, $pi$ edge modes are long lived. A tunneling estimate for the lifetime is obtained by mapping the stroboscopic time-evolution to dynamics of a single particle in Krylov subspace.
arXiv Detail & Related papers (2021-05-28T12:13:14Z)
Anisotropy-mediated reentrant localization [62.997667081978825]
We consider a 2d dipolar system, $d=2$, with the generalized dipole-dipole interaction $sim r-a$, and the power $a$ controlled experimentally in trapped-ion or Rydberg-atom systems. We show that the spatially homogeneous tilt $beta$ of the dipoles giving rise to the anisotropic dipole exchange leads to the non-trivial reentrant localization beyond the locator expansion.
arXiv Detail & Related papers (2020-01-31T19:00:01Z)

This list is automatically generated from the titles and abstracts of the papers in this site.