Quantum adiabatic protocols using emergent local Hamiltonians
arXiv:1708.03333 · doi:10.1103/PhysRevE.96.042155
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.
13 pages, 8 figures, as published
References in corpus (18)
- Many-Body Physics with Ultracold Gases
- Thermalization and its mechanism for generic isolated quantum systems
- Quantum Quench in the Transverse Field Ising Chain
- Entanglement and correlation functions following a local quench: a conformal field theory approach
- Homogeneous Atomic Fermi Gases
- Evolution of entanglement after a local quench
- Fermionization in an expanding 1D gas of hard-core bosons
- Shortcut to Adiabaticity in the Lipkin-Meshkov-Glick Model
- Emergence of quasi-condensates of hard-core bosons at finite momentum
- Thermalization and light cones in a model with weak integrability breaking
- Quantum distillation: dynamical generation of low-entropy states of strongly correlated fermions in an optical lattice
- Long-time behavior of the momentum distribution during the sudden expansion of a spin-imbalanced Fermi gas in one dimension
- Universal front propagation in the quantum Ising chain with domain-wall initial states
- Entanglement in spin chains with gradients
- Return probability after a quench from a domain wall initial state in the spin-1/2 XXZ chain
- Ground-state reference systems for expanding correlated fermions in one dimension
- Initial state dependence of the quench dynamics in integrable quantum systems. II. Thermal states
- Efficiency of fermionic quantum distillation