Diffusion and operator entanglement spreading

• URL: http://arxiv.org/abs/2006.02788v2
• Date: Sat, 11 Sep 2021 19:32:39 GMT
• Title: Diffusion and operator entanglement spreading
• Authors: Vincenzo Alba
• Abstract summary: We argue that for integrable models the dynamics of the $OSEE$ is related to the diffusion of the underlying quasiparticles. We numerically check that the bound is saturated in the rule $54$ chain, which is representative of interacting integrable systems. We show that strong finite-time effects are present, which prevent from probing the behavior of the $OSEE$.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Understanding the spreading of the operator space entanglement entropy ($OSEE$) is key in order to explore out-of-equilibrium quantum many-body systems. Here we argue that for integrable models the dynamics of the $OSEE$ is related to the diffusion of the underlying quasiparticles. We derive the logarithmic bound $1/2\ln(t)$ for the $OSEE$ of some simple, i.e., low-rank, diagonal local operators. We numerically check that the bound is saturated in the rule $54$ chain, which is representative of interacting integrable systems. Remarkably, the same bound is saturated in the spin-1/2 Heisenberg $XXZ$ chain. Away from the isotropic point and from the free-fermion point, the $OSEE$ grows as $1/2\ln(t)$, irrespective of the chain anisotropy, suggesting universality. Finally, we discuss the effect of integrability breaking. We show that strong finite-time effects are present, which prevent from probing the asymptotic behavior of the $OSEE$.

Related papers

• More on the Operator Space Entanglement (OSE): Rényi OSE, revivals, and integrability breaking [0.0]
  We investigate the dynamics of the R'enyi Operator Spaceanglement ($OSE$) entropies $S_n$ across several one-dimensional integrable and chaotic models. Our numerical results reveal that the R'enyi $OSE$ entropies of diagonal operators with nonzero trace saturate at long times. In finite-size integrable systems, $S_n$ exhibit strong revivals, which are washed out when integrability is broken.
  arXiv  Detail & Related papers  (2024-10-24T17:17:29Z)
• 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)
• The quantum beam splitter with many partially indistinguishable photons: multiphotonic interference and asymptotic classical correspondence [44.99833362998488]
  We present the analysis of the quantum two-port interferometer in the $n rightarrow infty$ limit of $n$ partially indistinguishable photons. Our main result is that the output distribution is dominated by the $O(sqrtn)$ channels around a certain $j*$ that depends on the degree of indistinguishability. The form is essentially the doubly-humped semi-classical envelope of the distribution that would arise from $2 j*$ indistinguishable photons, and which reproduces the corresponding classical intensity distribution.
  arXiv  Detail & Related papers  (2023-12-28T01:48:26Z)
• A Unified Framework for Uniform Signal Recovery in Nonlinear Generative Compressed Sensing [68.80803866919123]
  Under nonlinear measurements, most prior results are non-uniform, i.e., they hold with high probability for a fixed $mathbfx*$ rather than for all $mathbfx*$ simultaneously. Our framework accommodates GCS with 1-bit/uniformly quantized observations and single index models as canonical examples. We also develop a concentration inequality that produces tighter bounds for product processes whose index sets have low metric entropy.
  arXiv  Detail & Related papers  (2023-09-25T17:54:19Z)
• Entanglement in XYZ model on a spin-star system: Anisotropy vs. field-induced dynamics [0.0]
  We show that for vanishing $xy$-anisotropy $gamma$, bipartite entanglement on the peripheral spins exhibits a logarithmic growth with $n_p$. When the system is taken out of equilibrium by the introduction of a magnetic field of constant strength on all spins, the time-averaged bipartite entanglement on the periphery exhibits a logarithmic growth with $n_p$ irrespective of the value of $gamma$.
  arXiv  Detail & Related papers  (2023-07-29T10:13:39Z)
• Entanglement and Bell inequalities violation in $H\to ZZ$ with anomalous coupling [44.99833362998488]
  We discuss entanglement and violation of Bell-type inequalities for a system of two $Z$ bosons produced in Higgs decays. We find that a $ZZ$ state is entangled and violates the inequality for all values of the pair (anomalous) coupling constant.
  arXiv  Detail & Related papers  (2023-07-25T13:44:31Z)
• Rigorous derivation of the Efimov effect in a simple model [68.8204255655161]
  We consider a system of three identical bosons in $mathbbR3$ with two-body zero-range interactions and a three-body hard-core repulsion of a given radius $a>0$.
  arXiv  Detail & Related papers  (2023-06-21T10:11:28Z)
• Entanglement Entropy Growth in Disordered Spin Chains with Tunable Range Interactions [0.0]
  We study the effect of bond randomness in long-range interacting spin chains on the quantum quench dynamics. For $alphaalpha_c$, we find that the entanglement entropy grows as a power-law with time.
  arXiv  Detail & Related papers  (2023-03-04T13:27:56Z)
• The Franke-Gorini-Kossakowski-Lindblad-Sudarshan (FGKLS) Equation for Two-Dimensional Systems [62.997667081978825]
  Open quantum systems can obey the Franke-Gorini-Kossakowski-Lindblad-Sudarshan (FGKLS) equation. We exhaustively study the case of a Hilbert space dimension of $2$.
  arXiv  Detail & Related papers  (2022-04-16T07:03:54Z)
• Long-range-ordered phase in a quantum Heisenberg chain with interactions beyond nearest neighbors [0.0]
  cavity mediated infinite range interactions can induce fast scrambling in a Heisenberg $XXZ$ spin chain. We analyze the kaleidoscope of quantum phases that emerge in this system from the interplay of these interactions.
  arXiv  Detail & Related papers  (2021-03-07T05:20:52Z)
• 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.

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