Suppressing defect production during passage through a quantum critical point

Abstract

We show that a closed quantum system driven through a quantum critical point with two rates ${\omega }_1$ (which controls its proximity to the quantum critical point) and ${\omega }_2$ (which controls the dispersion of the low-energy quasiparticles at the critical point) exhibits novel scaling laws for defect density $n$ and residual energy $Q$. We demonstrate suppression of both $n$ and $Q$ with increasing ${\omega }_2$ leading to an alternate route to achieving near-adiabaticity in a finite time for a quantum system during its passage through a critical point. We provide an exact solution for such dynamics with linear drive protocols applied to a class of integrable models, supplement this solution with scaling arguments applicable to generic many-body Hamiltonians, and discuss specific models and experimental systems where our theory may be tested.

4.5 pages, 3 figures + Supplementary information

References in corpus (21)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• A spin-orbit coupled Bose-Einstein condensate
• Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
• Universal adiabatic dynamics across a quantum critical point
• Quench dynamics across quantum critical points
• Assisted finite-rate adiabatic passage across a quantum critical point: Exact solution for the quantum Ising model
• The Kibble-Zurek Problem: Universality and the Scaling Limit
• Defect production in non-linear quench across a quantum critical point
• Mott insulators in strong electric fields
• From multiferroics to cosmology: Scaling behaviour and beyond in the hexagonal manganites
• Exact results for quench dynamics and defect production in a two-dimensional model
• Mott insulator to superfluid transition in the Bose-Hubbard model: a strong-coupling approach
• Quenching Dynamics of a quantum XY spin-1/2 chain in presence of a transverse field
• Causality and non-equilibrium second-order phase transitions in inhomogeneous systems
• Dynamic generation of spin-squeezed states in bosonic Josephson junctions
• Fast generation of spin-squeezed states in bosonic Josephson junctions
• Non-equilibrium dynamics of Bosonic Mott insulators in an electric field
• Microscopic expression for the heat in the adiabatic basis
• Optimal control for unitary preparation of many-body states: application to Luttinger liquids
• Adiabatic multicritical quantum quenches: Continuously varying exponents depending on the direction of quenching
• Cooling through optimal control of quantum evolution

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