• Corpus ID: 237532548

Adding boundary terms to Anderson localized Hamiltonians leads to unbounded growth of entanglement

  title={Adding boundary terms to Anderson localized Hamiltonians leads to unbounded growth of entanglement},
  author={Yichen Huang},
It is well known that in Anderson localized systems, starting from a random product state the entanglement entropy remains bounded at all times. However, we show that adding a single boundary term to an otherwise Anderson localized Hamiltonian leads to unbounded growth of entanglement. Our results imply that Anderson localization is not a local property. One cannot conclude that a subsystem has Anderson localized behavior without looking at the whole system, as a term that is arbitrarily far… 

Figures from this paper

Entanglement Dynamics From Random Product States: Deviation From Maximal Entanglement
  • Yichen Huang
  • Physics
  • 2021
We study the entanglement dynamics of quantum many-body systems and prove the following: (I) For any geometrically local Hamiltonian on a lattice, starting from a random product state the


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 Dynamics of Disordered Quantum XY Chains
We consider the dynamics of the quantum XY chain with disorder under the general assumption that the expectation of the eigenfunction correlator of the associated one-particle Hamiltonian satisfies a
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.
Quantum revivals and many-body localization
We show that the magnetization of a single `qubit' spin weakly coupled to an otherwise isolated disordered spin chain exhibits periodic revivals in the localized regime, and retains an imprint of its
Many-body localization in one dimension as a dynamical renormalization group fixed point.
A dynamical real space renormalization group approach to describe the time evolution of a random spin-1/2 chain, or interacting fermions, initialized in a state with fixed particle positions identifies a many-body localized state of the chain as a dynamical infinite randomness fixed point, which become asymptotically exact conservation laws at the fixed point.
Universal entanglement of mid-spectrum eigenstates of chaotic local Hamiltonians
Abstract In systems governed by chaotic local Hamiltonians, my previous work (2019) [7] conjectured the universality of the average entanglement entropy of all eigenstates by proposing an exact
Local conservation laws and the structure of the many-body localized states.
It is argued that the many-body localization can be used to protect coherence in the system by suppressing relaxation between eigenstates with different local integrals of motion.
Universal eigenstate entanglement of chaotic local Hamiltonians
Abstract In systems governed by “chaotic” local Hamiltonians, we conjecture the universality of eigenstate entanglement (defined as the average entanglement entropy of all eigenstates) by proposing
Nonequilibrium quantum dynamics and transport: from integrability to many-body localization
We review the non-equilibrium dynamics of many-body quantum systems after a quantum quench with spatial inhomogeneities, either in the Hamiltonian or in the initial state. We focus on integrable and
Phenomenology of fully many-body-localized systems
Initiative for the Theoretical Sciences, The Graduate Center, CUNY, New York, NY 10016, USA(Dated: August 20, 2014)We consider fully many-body localized systems, i.e. isolated quantum systems where