Entanglement Entropy Growth in Disordered Spin Chains with Tunable Range Interactions

• URL: http://arxiv.org/abs/2303.02415v1
• Date: Sat, 4 Mar 2023 13:27:56 GMT
• Title: Entanglement Entropy Growth in Disordered Spin Chains with Tunable Range Interactions
• Authors: Youcef Mohdeb, Javad Vahedi, Ravindra N. Bhatt, Stephan Haas, Stefan Kettemann
• Abstract summary: 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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The non-equilibrium dynamics of disordered many-body quantum systems after a global quantum quench unveils important insights about the competition between interactions and disorder, yielding in particular an insightful perspective on many body localization (MBL). Still, the experimentally relevant effect of bond randomness in long-range interacting spin chains on the quantum quench dynamics have so far not been investigated. In this letter, we examine the entanglement entropy growth after a global quench in a quantum spin chain with randomly placed spins and long-range tunable interactions decaying with distance with power $\alpha$. Using a dynamical version of the strong disorder renormalization group (SDRG) we find for $\alpha >\alpha_c$ that the entanglement entropy grows logarithmically with time and becomes smaller with larger $\alpha$ as $S(t) = S_p \ln(t)/(2\alpha)$. Here, $S_p= 2 \ln2 -1$. We use numerical exact diagonalization (ED) simulations to verify our results for system sizes up to $ N\sim 16$ spins, yielding good agreement for sufficiently large $\alpha > \alpha_c \approx 1.8$. For $\alpha<\alpha_c$, we find that the entanglement entropy grows as a power-law with time, $S(t)\sim t^{\gamma(\alpha)}$ with $0<\gamma(\alpha)<1$ a decaying function of the interaction exponent $\alpha$.

Related papers

• KPZ scaling from the Krylov space [83.88591755871734]
  Recently, a superdiffusion exhibiting the Kardar-Parisi-Zhang scaling in late-time correlators and autocorrelators has been reported. Inspired by these results, we explore the KPZ scaling in correlation functions using their realization in the Krylov operator basis.
  arXiv  Detail & Related papers  (2024-06-04T20:57:59Z)
• Waveguide QED at the onset of spin-spin correlations [36.136619420474766]
  We find that molecules belonging to the crystal sublattice B form one-dimensional spin chains. The microwave transmission shows evidences for the collective coupling of quasi-identical spins to the propagating photons.
  arXiv  Detail & Related papers  (2024-04-04T18:00:05Z)
• 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)
• Robust spectral $\pi$ pairing in the random-field Floquet quantum Ising model [44.84660857803376]
  We study level pairings in the many-body spectrum of the random-field Floquet quantum Ising model. The robustness of $pi$ pairings against longitudinal disorder may be useful for quantum information processing.
  arXiv  Detail & Related papers  (2024-01-09T20:37:48Z)
• Persistent Ballistic Entanglement Spreading with Optimal Control in Quantum Spin Chains [20.202931915427836]
  Entanglement entropy (EE) usually approaches to a sub-saturation known as the Page value $tildeS_P =tildeS - dS$. The ballistic spreading of EE usually appears in the early time and will be far before the Page value is reached. The linear growth of EE is demonstrated to persist till the maximal $tildeS$ (along with a flat entanglement spectrum) is reached.
  arXiv  Detail & Related papers  (2023-07-21T14:25:22Z)
• Nearest-neighbor approximation in one-excitation state evolution along spin-1/2 chain governed by XX-Hamiltonian [0.0]
  approximation of nearest neighbor interaction (NNI) is widely used in short-time spin dynamics with dipole-dipole interactions (DDI) We consider the system with the intensity of the spin-spin interaction $sim 1/ralpha$, $alphage 3$, and find the low boundary $alpha_c$ of applicability of the NNI to the evolution of an arbitrary one-excitation initial quantum state in the homogeneous spin chain governed by the $XX$-Hamiltonian.
  arXiv  Detail & Related papers  (2023-01-23T15:01:12Z)
• Study of the long-range transverse field Ising model with fermionic Gaussian states [0.0]
  We numerically study the one-dimensional long-range Transverse Field Ising Model (TFIM) in the antiferromagnetic regime at zero temperature. The spin-spin interaction extends to all spins in the lattice and decays as $1/ralpha$, where $r$ denotes the distance between two spins and $alpha$ is a tunable exponent.
  arXiv  Detail & Related papers  (2023-01-07T21:23:53Z)
• A Law of Robustness beyond Isoperimetry [84.33752026418045]
  We prove a Lipschitzness lower bound $Omega(sqrtn/p)$ of robustness of interpolating neural network parameters on arbitrary distributions. We then show the potential benefit of overparametrization for smooth data when $n=mathrmpoly(d)$. We disprove the potential existence of an $O(1)$-Lipschitz robust interpolating function when $n=exp(omega(d))$.
  arXiv  Detail & Related papers  (2022-02-23T16:10:23Z)
• Universal Entanglement Transitions of Free Fermions with Long-range Non-unitary Dynamics [16.533265279392772]
  Non-unitary evolution can give rise to novel steady states classified by their entanglement properties. In this work, we aim to understand its interplay with long-range hopping that decays with $r-alpha$ in free-fermion systems.
  arXiv  Detail & Related papers  (2021-05-19T02:52:48Z)
• Quantum chaos and ensemble inequivalence of quantum long-range Ising chains [0.0]
  We use large-scale exact diagonalization to study the quantum Ising chain in a transverse field with long-range powerlaw interactions with exponents. Our findings suggest that a small fraction of energies could persist at low energies for $alpha1$ even for large $N$, giving rise to ensemble inequivalence.
  arXiv  Detail & Related papers  (2020-12-11T17:16:56Z)
• 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.