Quantum adiabatic protocols using emergent local Hamiltonians

Ranjan Modak, Lev Vidmar, Marcos Rigol

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

We present two applications of emergent local Hamiltonians to speed up quantum adiabatic protocols for isolated noninteracting and weakly interacting fermionic systems in one-dimensional lattices. We demonstrate how to extract maximal work from initial band-insulating states, and how to adiabatically transfer systems from linear and harmonic traps into box traps. Our protocols consist of two stages. The first one involves a free expansion followed by a quench to an emergent local Hamiltonian. In the second stage, the emergent local Hamiltonian is "turned off" quasistatically. For the adiabatic transfer from a harmonic trap, we consider both zero- and nonzero-temperature initial states.

Original languageEnglish (US)
Article number042155
JournalPhysical Review E
Volume96
Issue number4
DOIs
StatePublished - Oct 26 2017

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Trap
traps
Harmonic
harmonics
boxes
Speedup
expansion
Zero
Demonstrate
temperature

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Cite this

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Quantum adiabatic protocols using emergent local Hamiltonians. / Modak, Ranjan; Vidmar, Lev; Rigol, Marcos.

In: Physical Review E, Vol. 96, No. 4, 042155, 26.10.2017.

Research output: Contribution to journalArticle

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