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 (71)
- Many-Body Physics with Ultracold Gases
- A nonequilibrium equality for free energy differences
- Chaos and Quantum Thermalization
- Thermalization and its mechanism for generic isolated quantum systems
- Nonequilibrium dynamics of closed interacting quantum systems
- The Entropy Production Fluctuation Theorem and the Nonequilibrium Work Relation for Free Energy Differences
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Relaxation in a Completely Integrable Many-Body Quantum System: An Ab Initio Study of the Dynamics of the Highly Excited States of Lattice Hard-Core Bosons
- Evolution of Entanglement Entropy in One-Dimensional Systems
- Colloquium. Quantum Fluctuation Relations: Foundations and Applications
- Quantum many-body systems out of equilibrium
- Collapse and Revival of the Matter Wave Field of a Bose-Einstein Condensate
- One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
- Transport in Out-of-Equilibrium XXZ Chains: Exact Profiles of Charges and Currents
- Experimental realization of a long-range antiferromagnet in the Hubbard model with ultracold atoms
- Fundamental limitations for quantum and nano thermodynamics
- Quantum Quench in the Transverse Field Ising Chain
- Generalized Gibbs ensemble in integrable lattice models
- Quench dynamics and relaxation in isolated integrable quantum spin chains
- Extractable work from ensembles of quantum batteries. Entanglement helps
- Complete Generalized Gibbs Ensemble in an interacting Theory
- Entanglement and thermodynamics after a quantum quench in integrable systems
- Entanglement and correlation functions following a local quench: a conformal field theory approach
- Quantum Chaos and Thermalization in Isolated Systems of Interacting Particles
- Alternatives to Eigenstate Thermalization
- Spin diffusion from an inhomogeneous quench in an integrable system
- Real-time dynamics in spin-1/2 chains with adaptive time-dependent DMRG
- Classical and quantum shortcuts to adiabaticity for scale-invariant driving
- Minimizing irreversible losses in quantum systems by local counter-diabatic driving
- Homogeneous Atomic Fermi Gases
- Truly work-like work extraction
- Prethermalization and thermalization in models with weak integrability breaking
- Transport in the XX chain at zero temperature: Emergence of flat magnetization profiles
- The Quench Action
- Analytic solution of the Domain Wall non-equilibrium stationary state
- 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
- A Quantum Fluctuation Theorem
- Non-equilibrium spin transport in integrable spin chains: persistent currents and emergence of magnetic domains
- Quantum Quenches in the Thermodynamic Limit
- Emergence of quasi-condensates of hard-core bosons at finite momentum
- Quantum Quenches in an XXZ Spin Chain from a Spatially Inhomogeneous Initial State
- Glimmers of a Quantum KAM Theorem: Insights from Quantum Quenches in One Dimensional Bose Gases
- Non-equilibrium steady states in the quantum XXZ spin chain
- Entanglement and quantum transport in integrable systems
- Thermalization and light cones in a model with weak integrability breaking
- Dynamical Quasicondensation of Hard-Core Bosons at Finite Momenta
- Quantum distillation: dynamical generation of low-entropy states of strongly correlated fermions in an optical lattice
- Entanglement spreading after a geometric quench in quantum spin chains
- Inhomogeneous quenches in the transverse field Ising chain: scaling and front dynamics
- Fundamental Asymmetry in Quenches Between Integrable and Nonintegrable Systems
- Sudden expansion of Mott insulators in one dimension
- Quantum Quenches in the Luttinger model and its close relatives
- 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
- Emergent eigenstate solution to quantum dynamics far from equilibrium
- 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
- Confinement control by optical lattices
- Initial state dependence of the quench dynamics in integrable quantum systems. II. Thermal states
- Expansion dynamics in the one-dimensional Fermi-Hubbard model
- Work and entropy production in generalised Gibbs ensembles
- Expansion of one-dimensional lattice hard-core bosons at finite temperature
- Emergent eigenstate solution and emergent Gibbs ensemble for expansion dynamics in optical lattices
- Nonequilibrium current-carrying steady states in the anisotropic spin chain
- Unveiling hidden structure of many-body wavefunctions of integrable systems via sudden expansion experiments
- Work extraction in an isolated quantum lattice system: Grand canonical and generalized Gibbs ensemble predictions
- Unitary work extraction from a Generalized Gibbs Ensemble using Bragg scattering
- Efficiency of fermionic quantum distillation
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- Spin-charge separation effects in the low-temperature transport of 1D Fermi gases
- Low-Temperature Transport in Out-of-Equilibrium XXZ Chains
- Quantum dynamics of impenetrable SU(N) fermions in one-dimensional lattices
- Global optimization for quantum dynamics of few-fermion systems
- One-dimensional L{é}vy Quasicrystal
- Optimal protocols for finite-duration quantum quenches in the Luttinger model
- Emergent eigenstate solution for generalized thermalization
- Geometric quenches in quasi-disordered lattice system