Adiabatic dynamics in passage across quantum critical lines and gapless phases

Abstract

It is well known that the dynamics of a quantum system is always non-adiabatic in passage through a quantum critical point and the defect density in the final state following a quench shows a power-law scaling with the rate of quenching. However, we propose here a possible situation where the dynamics of a quantum system in passage across quantum critical regions is adiabatic and the defect density decays exponentially. This is achieved by incorporating additional interactions which lead to quantum critical behavior and gapless phases but do not participate in the time evolution of the system. To illustrate the general argument, we study the defect generation in the quantum critical dynamics of a spin-1/2 anisotropic quantum XY spin chain with three spin interactions and a linearly driven staggered magnetic field.

4 pages, 2 figures, accepted version

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Cited by in corpus (13)

• Dynamics of a Quantum Phase Transition and Relaxation to a Steady State
• Space-time renormalization in phase transition dynamics
• Light cone dynamics and reverse Kibble-Zurek mechanism in two-dimensional superfluids following a quantum quench
• Tuning the presence of dynamical phase transitions in a generalized $XY$ spin chain
• Dynamical Quantum Phase Transitions in Extended Transverse Ising Models
• Dynamics of a quantum phase transition in the 1D Bose-Hubbard model: excitations and correlations induced by a quench
• Dynamical critical scaling and effective thermalization in quantum quenches: the role of the initial state
• Optimal suppression of defect generation during a passage across a quantum critical point
• The three site interacting spin chain in staggered field: Fidelity vs Loschmidt echo
• Bosonic quantum dynamics following a linear interaction quench in finite optical lattices of unit filling
• Possibility of adiabatic transport of a Majorana edge state through an extended gapless region
• Quantum random walk : effect of quenching
• Quantum Walker in Presence of a Moving Detector