Dynamics of the entanglement spectrum in spin chains

  title={Dynamics of the entanglement spectrum in spin chains},
  author={Giacomo Torlai and Luca Tagliacozzo and Gabriele De Chiara},
  journal={Journal of Statistical Mechanics: Theory and Experiment},
We study the dynamics of the entanglement spectrum, that is the time evolution of the eigenvalues of the reduced density matrices after a bipartition of a one-dimensional spin chain. Starting from the ground state of an initial Hamiltonian, the state of the system is evolved in time with a new Hamiltonian. We consider both instantaneous and quasi adiabatic quenches of the system Hamiltonian across a quantum phase transition. We analyse the Ising model that can be exactly solved and the XXZ for… 

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