Dynamical phase transitions in the long-range (powerlaw) interacting transverse-field Ising model

MPSD Seminar

  • Datum: 29.09.2016
  • Uhrzeit: 14:00 - 15:00
  • Vortragende(r): Jan Halimeh
  • LMU Munich
  • Ort: CFEL (Bldg. 99)
  • Raum: Seminar Room III, EG.080
  • Gastgeber: Martin Eckstein
Dynamical phase transitions (DPTs) have gained a lot of interest in the past few years in a variety of quantum many-body systems, where a system in its groundstate is quenched by abruptly changing a control parameter of the Hamiltonian, such as interaction strength or external field. Afterwards, a DPT can be detected in one of at least two forms: a type-I DPT which is detected, after relaxation in time, through the nonanalyticity of an appropriate order parameter as a function of the control parameter through which the quench is effected; and a type-II DPT which is detected as a nonanalyticity of the Loschmidt echo return rate as a function in time, without giving care as to whether or not a stationary state has been reached in the time evolution.

We study both types of DPTs in the onedimensional long-range (power-law) interacting transverse-field Ising model using finiteand infinite-size time-dependent density matrix renormalization group techniques, and we discuss numerical results in relation to theory.

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