1. Quantum dynamics in sine-square deformed conformal field theory: Quench from uniform to nonuniform conformal field theory
- Author
-
Xueda Wen and Jie-Qiang Wu
- Subjects
Physics ,010308 nuclear & particles physics ,Conformal field theory ,Quantum dynamics ,Time evolution ,Non-equilibrium thermodynamics ,Quantum entanglement ,01 natural sciences ,0103 physical sciences ,Virasoro algebra ,010306 general physics ,Quantum ,Entropy (arrow of time) ,Mathematical physics - Abstract
In this work, motivated by the sine-square deformation (SSD) for (1+1)-dimensional quantum critical systems, we study the nonequilibrium quantum dynamics of a conformal field theory (CFT) with SSD, which was recently proposed to have a continuous energy spectrum and continuous Virasoro algebra. In particular, we study the time evolution of entanglement entropy after a quantum quench from a uniform CFT, which is defined on a finite space of length L, to a sine-square deformed CFT. We find that there is a crossover time t* that divides the entanglement evolution into two interesting regions. For t≪t*, the entanglement entropy does not evolve in time; for t≫t*, the entanglement entropy grows as SA(t)≃c3logt, which is independent of the lengths of the subsystem and the total system. This logt growth with no revival indicates that a sine-square deformed CFT effectively has an infinite length, in agreement with previous studies based on energy spectrum analysis. Furthermore, we study the quench dynamics for a CFT with Mobius deformation, which interpolates between a uniform CFT and a sine-square deformed CFT. The entanglement entropy oscillates in time with period Leff=Lcosh(2θ), with θ=0 corresponding to the uniform case and θ→∞ corresponding to the SSD limit. Our field theory calculation is confirmed by a numerical study on a (1+1)-dimensional critical fermion chain.
- Published
- 2018