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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Quantum information science

Background:

  • Quantum adiabatic protocols are crucial for quantum computation and simulations.
  • Speeding up these protocols is essential for practical applications.
  • Fermionic systems in one-dimensional lattices present unique challenges and opportunities.

Purpose of the Study:

  • To present two novel applications of emergent local Hamiltonians.
  • To accelerate quantum adiabatic protocols for specific fermionic systems.
  • To demonstrate efficient work extraction and state transfer mechanisms.

Main Methods:

  • Utilizing emergent local Hamiltonians to modify quantum systems.
  • Implementing two-stage protocols involving free expansion, quenching, and quasistatic Hamiltonian changes.
  • Analyzing protocols for isolated noninteracting and weakly interacting fermionic systems in 1D lattices.
  • Considering both zero- and nonzero-temperature initial states for adiabatic transfer.

Main Results:

  • Demonstrated protocols for extracting maximal work from band-insulating states.
  • Showcased adiabatic transfer of systems from linear and harmonic traps to box traps.
  • Successfully applied emergent local Hamiltonians to speed up adiabatic processes.
  • Validated the effectiveness of the two-stage protocol design.

Conclusions:

  • Emergent local Hamiltonians offer a powerful tool for accelerating quantum adiabatic protocols.
  • The presented methods provide practical pathways for enhancing quantum simulations and computations.
  • The protocols are applicable to a range of fermionic systems and initial conditions.