Odd Entanglement Entropy and Logarithmic Negativity for Thermofield Double States

• URL: http://arxiv.org/abs/2106.15451v2
• Date: Sun, 11 Jul 2021 09:14:11 GMT
• Title: Odd Entanglement Entropy and Logarithmic Negativity for Thermofield Double States
• Authors: Mostafa Ghasemi, Ali Naseh and Reza Pirmoradian
• Abstract summary: We investigate the time evolution of odd entanglement entropy (OEE) and logarithmic negativity (LN) for the thermofield double (TFD) states. We find that the time evolution pattern of OEE is a linear growth followed by saturation. For disjoint intervals at fixed temperature, the vanishing of LN is observed for times $td/2$ (half of the distance between intervals)
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We investigate the time evolution of odd entanglement entropy (OEE) and logarithmic negativity (LN) for the thermofield double (TFD) states in free scalar quantum field theories using the covariance matrix approach. To have mixed states, we choose non-complementary subsystems, either adjacent or disjoint intervals on each side of the TFD. We find that the time evolution pattern of OEE is a linear growth followed by saturation. On a circular lattice, for longer times the finite size effect demonstrates itself as oscillatory behavior. In the limit of vanishing mass, for a subsystem containing a single degree of freedom on each side of the TFD, we analytically find the effect of zero-mode on the time evolution of OEE which leads to logarithmic growth in the intermediate times. Moreover, for adjacent intervals we find that the LN is zero for times $t < \beta/2$ (half of the inverse temperature) and after that, it begins to grow linearly. For disjoint intervals at fixed temperature, the vanishing of LN is observed for times $t<d/2$ (half of the distance between intervals). We also find a similar delay to see linear growth of $\Delta S=S_{\text{OEE}}-S_{\text{EE}}$. All these results show that the dynamics of these measures are consistent with the quasi-particle picture, of course apart from the logarithmic growth.

Related papers

• Measurement-induced transitions for interacting fermions [43.04146484262759]
  We develop a field-theoretical framework that provides a unified approach to observables characterizing entanglement and charge fluctuations. Within this framework, we derive a replicated Keldysh non-linear sigma model (NLSM) By using the renormalization-group approach for the NLSM, we determine the phase diagram and the scaling of physical observables.
  arXiv  Detail & Related papers  (2024-10-09T18:00:08Z)
• Diffusive entanglement growth in a monitored harmonic chain [0.0]
  We find that entanglement grows diffusively ($S sim t1/2$) for a large class of initial Gaussian states. We propose a modified quasi-particle picture which accounts for all of these main features and agrees quantitatively well with our essentially exact numerical results.
  arXiv  Detail & Related papers  (2024-03-06T20:07:25Z)
• Theory of free fermions under random projective measurements [43.04146484262759]
  We develop an analytical approach to the study of one-dimensional free fermions subject to random projective measurements of local site occupation numbers. We derive a non-linear sigma model (NLSM) as an effective field theory of the problem.
  arXiv  Detail & Related papers  (2023-04-06T15:19:33Z)
• 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)
• Superdiffusion in random two dimensional system with time-reversal symmetry and long-range hopping [45.873301228345696]
  localization problem in the crossover regime for the dimension $d=2$ and hopping $V(r) propto r-2$ is not resolved yet. We show that for the hopping determined by two-dimensional anisotropic dipole-dipole interactions there exist two distinguishable phases at weak and strong disorder.
  arXiv  Detail & Related papers  (2022-05-29T16:53:20Z)
• Clean two-dimensional Floquet time-crystal [68.8204255655161]
  We consider the two-dimensional quantum Ising model, in absence of disorder, subject to periodic imperfect global spin flips. We show by a combination of exact diagonalization and tensor-network methods that the system can sustain a spontaneously broken discrete time-translation symmetry. We observe a non-perturbative change in the decay rate of the order parameter, which is related to the long-lived stability of the magnetic domains in 2D.
  arXiv  Detail & Related papers  (2022-05-10T13:04:43Z)
• Logarithmic negativity in out-of-equilibrium open free-fermion chains: An exactly solvable case [0.0]
  We derive the quasiparticle picture for the fermionic logarithmic negativity in a tight-binding chain subject to gain and loss dissipation. We consider the negativity between both adjacent and disjoint intervals embedded in an infinite chain.
  arXiv  Detail & Related papers  (2022-05-04T15:48:18Z)
• Spread of Correlations in Strongly Disordered Lattice Systems with Long-Range Coupling [0.0]
  We investigate the spread of correlations carried by an excitation in a 1-dimensional lattice system with high on-site energy disorder. The increase in correlation between the initially quenched node and a given node exhibits three phases: quadratic in time, linear in time, and saturation.
  arXiv  Detail & Related papers  (2021-06-15T15:47:20Z)
• Decoherent Quench Dynamics across Quantum Phase Transitions [0.0]
  We formulate decoherent dynamics induced by continuous quantum non-demolition measurements of the instantaneous Hamiltonian. We generalize the well-studied universal Kibble-Zurek behavior for linear temporal drive across the critical point. We show that the freeze-out time scale can be probed from the relaxation of the Hall conductivity.
  arXiv  Detail & Related papers  (2021-03-14T23:43:55Z)
• 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)
• Growth of mutual information in a quenched one-dimensional open quantum many body system [11.731315568079445]
  In a dissipative system, postquench information propagates solely through entangled pairs of quasiparticles having a finite lifetime. Remarkably, in spite of the finite lifetime of the quasiparticles, a finite steady-state value of the MI survives in times which is an artifact of nonvanishing two-point correlations.
  arXiv  Detail & Related papers  (2020-01-27T14:08:39Z)

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

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.