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Disorder-Order Interface Propagating over the Ferromagnetic Ground State in the Transverse Field Ising Chain

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arxiv 2411.04089 v3 pith:ZXX3UTSY submitted 2024-11-06 cond-mat.stat-mech cond-mat.dis-nncond-mat.str-elquant-ph

Vanja Marić , Florent Ferro , Maurizio Fagotti This is my paper · ORCID
classification cond-mat.stat-mechcond-mat.dis-nncond-mat.str-elquant-ph
keywords ordercorrelationsferromagneticgroundstatetimeasymmetrieschain
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We consider time evolution of order parameters and entanglement asymmetries in the ferromagnetic phase of the transverse-field Ising chain. One side of the system is prepared in a ferromagnetic ground state and the other side either in equilibrium at higher temperature or out of equilibrium. We focus on the disorder-order interface in which the order parameter attains a nonzero value, different from the ground state one. In that region, correlations follow a universal behaviour. We analytically compute the asymptotic scaling functions of the one- and two-point equal time correlations of the order parameter and provide numerical evidence that also the non-equal time correlations are universal. We analyze the R\'enyi entanglement asymmetries of subsystems and obtain a prediction that is expected to hold also in the von Neumann limit. Finally, we show that the Wigner-Yanase skew information of the order paramerter in subsystems within the interfacial region scales as their length squared. We propose a semiclassical approximation that is particularly effective close to the edge of the lightcone.

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Cited by 4 Pith papers

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    At special drive frequencies, periodically driven spin chains show symmetry restoration and the quantum Mpemba effect; driven CFTs on a strip show entanglement asymmetry growing as ln(mT) in the heating phase and as l...

  2. Non-Abelian entanglement asymmetry in random states

    hep-th 2024-11 conditional novelty 6.0 of 10

    For Haar random states of a compact semisimple Lie group, the average entanglement asymmetry vanishes below half the system, jumps at half, and grows as (dim G / 2) log l_A above it.

  3. Entanglement asymmetry in CFT with boundary symmetry breaking

    hep-th 2024-11 conditional novelty 6.0 of 10

    For a (1+1)-dimensional CFT with a symmetry-breaking boundary, the entanglement asymmetry of an interval anchored at the boundary tends to log|G| with an algebraic correction whose exponent is twice the smallest bound...

  4. Entanglement asymmetry and symmetry defects in boundary conformal field theory

    hep-th 2024-11 conditional novelty 6.0 of 10

    For 2D CFTs with boundary-only symmetry breaking, the entanglement asymmetry is log|G| with power-law corrections for finite groups, (dim G/2) log log(ℓ/ε) for compact Lie groups, and it drops from log|G| to 0 at t=ℓ/...

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