Origin of the slow growth of entanglement entropy in long-range interacting spin systems

  title={Origin of the slow growth of entanglement entropy in long-range interacting spin systems},
  author={Alessio Lerose and Silvia Pappalardi},
  journal={Physical Review Research},
Long-range interactions allow far-distance quantum correlations to build up very fast. Nevertheless, numerical simulations demonstrated a dramatic slowdown of entanglement entropy growth after a sudden quench. In this work, we unveil the general mechanism underlying this counterintuitive phenomenon for $d$-dimensional quantum spin systems with slowly-decaying interactions. We demonstrate that the semiclassical rate of collective spin squeezing governs the dynamics of entanglement, leading to a… 

Figures from this paper

Entanglement propagation and dynamics in non-additive quantum systems
The prominent collective character of long-range interacting quantum systems makes them promising candidates for quantum technological applications. Yet, lack of additivity overthrows the traditional
Asymmetric transport in long-range interacting chiral spin chains
Harnessing power-law interactions (1/r^\alpha1/rα) in a large variety of physical systems are increasing. We study the dynamics of chiral spin chains as a possible multi-directional quantum channel.
Momentum-space entanglement after a quench in one-dimensional disordered fermionic systems
We numerically investigate the momentum-space entanglement entropy and entanglement spectrum of the random-dimer model and its generalizations, which circumvent Anderson localization, after a quench
Metastability and discrete spectrum of long-range systems
  • N. Defenu
  • Physics
    Proceedings of the National Academy of Sciences
  • 2021
The spectrum of systems with power-law decaying couplings remains discrete up to the thermodynamic limit, showing that several traditional results on the chaotic nature of the spectrum in many-body quantum systems are not satisfied in the presence of long-range interactions.
Entanglement entropy and out-of-time-order correlator in the long-range Aubry–André–Harper model
This work investigates the nonequilibrium dynamics of entanglement entropy and out-of-time-order correlator (OTOC) of noninteracting fermions at half-filling starting from a product state to distinguish the delocalized, multifractal, localized and mixed phases hosted by the quasiperiodic Aubry–André–Harper (AAH) model in the presence of long-range hopping.
Dissipative Floquet Dynamics: from Steady State to Measurement Induced Criticality in Trapped-ion Chains
Quantum systems evolving unitarily and subject to quantum measurements exhibit various types of non-equilibrium phase transitions, arising from the competition between unitary evolution and
Multiparticle entanglement dynamics of quantum chaos in a Bose-Einstein condensate
We study the particle-entanglement dynamics witnessed by the quantum Fisher information (QFI) of a trapped Bose-Einstein condensate governed by the kicked rotor Hamiltonian. The dynamics is
Self-consistent theory of many-body localisation in a quantum spin chain with long-range interactions
Many-body localisation is studied in a disordered quantum spin-1/2 chain with long-ranged power-law interactions, and distinct power-law exponents for interactions between longitudinal and transverse
1 3 M ay 2 02 1 Multiparticle Entanglement Dynamics of Quantum Chaos in a Bose-Einstein condensate
We study the particle-entanglement dynamics witnessed by the quantum Fisher information (QFI) of a trapped Bose-Einstein condensate governed by the kicked rotor Hamiltonian. The dynamics is
Criticality of spin systems with weak long-range interactions
The study of critical properties of systems with long-range interactions has attracted in the last decades a continuing interest and motivated the development of several analytical and numerical


Entanglement growth in quench dynamics with variable range interactions
Studying entanglement growth in quantum dynamics provides both insight into the underlying microscopic processes and information about the complexity of the quantum states, which is related to the
Universal slow growth of entanglement in interacting strongly disordered systems.
This work shows that the logarithmic entanglement growth is a universal phenomenon characteristic of the many-body localized phase in any number of spatial dimensions, and reveals a broad hierarchy of dephasing time scales present in such a phase.
Spread of correlations in long-range interacting quantum systems.
This work analyzes a local quantum quench in the long-range Ising model in a transverse field to identify three dynamical regimes: short-range-like with an emerging light cone for α>2, weakly long range for 1<α<2 without a clear light cone but with a finite propagation speed of almost all excitations, and fully nonlocal for α<1 with instantaneous transmission of correlations.
Entanglement dynamics after quantum quenches in generic integrable systems
The time evolution of the entanglement entropy in non-equilibrium quantum systems provides crucial information about the structure of the time-dependent state. For quantum quench protocols, by
Protected quasi-locality in quantum systems with long-range interactions
We study the out-of-equilibrium dynamics of quantum systems with long-range interactions. Two different models describing, respectively, lattice bosons, and spins are considered. Our study is based
Quantum correlations and entanglement in far-from-equilibrium spin systems
By applying complementary analytic and numerical methods, we investigate the dynamics of spin-$\frac{1}{2} XXZ$ models with variable-range interactions in arbitrary dimensions. The dynamics we
Unbounded growth of entanglement in models of many-body localization.
The significance for proposed atomic experiments is that local measurements will show a large but nonthermal entropy in the many-body localized state, which develops slowly over a diverging time scale as in glassy systems.
Entanglement growth and correlation spreading with variable-range interactions in spin and fermionic tunneling models
We investigate the dynamics following a global parameter quench for two one-dimensional models with variable-range power-law interactions: a long-range transverse Ising model, which has recently been
Spreading of correlations in exactly-solvable quantum models with long-range interactions in arbitrary dimensions
We study the out-of-equilibrium dynamics induced by quantum quenches in quadratic Hamiltonians featuring both short- and long-range interactions. The spreading of correlations in the presence of
Breakdown of quasilocality in long-range quantum lattice models.
This work studies the nonequilibrium dynamics of correlations in quantum lattice models in the presence of long-range interactions decaying asymptotically as a power law, and shows that this decay is not only sufficient but also necessary for supersonic propagation.