Adiabatic dynamics in passage across quantum critical lines and gapless phases

2009/06/30 by Debanjan Chowdhury, Uma Divakaran, Amit Dutta · 1 citation
Physics and Astronomy · #Adiabatic process #Condensed matter physics #Critical point (mathematics) #Gapless playback #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum and electron transport phenomena #Quantum critical point #Quantum dissipation #Quantum dynamics #Quantum many-body systems #Quantum mechanics #Quantum phase transition #Quantum phases #Spin (aerodynamics) #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreve.81.012101

published as Phys. Rev. E, 81, 012101 (2010) · 4 pages, 2 figures, accepted version

openalex publication_date 2010/01/04 · arxiv created 2010/01/11 · arxiv updated 2015/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

It is well known that the dynamics of a quantum system is always nonadiabatic 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.

Citations

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Cited by

• Bosonic quantum dynamics following a linear interaction quench in finite optical lattices of unit filling