Quantum Quenches and Relaxation Dynamics in the Thermodynamic Limit

Krishnanand Mallayya, Marcos Rigol

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Abstract

We implement numerical linked cluster expansions (NLCEs) to study dynamics of lattice systems following quantum quenches, and focus on a hard-core boson model in one-dimensional lattices. We find that, in the nonintegrable regime and within the accessible times, local observables exhibit exponential relaxation. We determine the relaxation rate as one departs from the integrable point and show that it scales quadratically with the strength of the integrability breaking perturbation. We compare the NLCE results with those from exact diagonalization calculations on finite chains with periodic boundary conditions, and show that NLCEs are far more accurate.

Original languageEnglish (US)
Article number070603
JournalPhysical Review Letters
Volume120
Issue number7
DOIs
StatePublished - Feb 16 2018

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All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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