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Slow Drive of Many-Body Localized Systems

Citation

Mozgunov, Evgeny (2017) Slow Drive of Many-Body Localized Systems. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Z9DJ5CND. http://resolver.caltech.edu/CaltechTHESIS:06052017-155729766

Abstract

We investigate a many-body localized 1d spin chain with a Hamiltonian consisting of classical disordered Ising and a small transversal field. An existing perturbative diagonalization by Imbrie is simplified and reinterpreted in order to prove the anticipated form of the Lieb-Robinson bound and the area law in an eigenstate. We also show how to approximately reduce Imbrie’s unitary to a finite depth circuit. The concept of resonances in Imbrie’s work can be given a physical meaning as an avoided crossing of levels as functions of a magnetic field. For a slow drive of this field, we discuss the proofs of validity for an efficient classical simulation of such disordered systems, both isolated and in contact with the environment. Our results are applicable to Floquet systems and describe an unexpected mechanism of heating up over long times. We also revisit noisy quantum adiabatic annealers like the D-wave machine and find a nontrivial physics that can possibly be observed in them.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:quantum physics, quantum information, mathematical physics, many-body localization
Degree Grantor:California Institute of Technology
Division:Physics, Mathematics and Astronomy
Major Option:Physics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Kitaev, Alexei
Group:IQIM, Institute for Quantum Information and Matter
Thesis Committee:
  • Kitaev, Alexei (chair)
  • Preskill, John P.
  • Kimble, H. Jeff
  • Brandao, Fernando
Defense Date:26 May 2017
Non-Caltech Author Email:mvjenia (AT) gmail.com
Record Number:CaltechTHESIS:06052017-155729766
Persistent URL:http://resolver.caltech.edu/CaltechTHESIS:06052017-155729766
DOI:10.7907/Z9DJ5CND
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:10286
Collection:CaltechTHESIS
Deposited By: Evgeny Mozgunov
Deposited On:07 Jun 2017 17:19
Last Modified:03 Aug 2017 19:31

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