Entropy and Correlation Functions of a Driven Quantum Spin Chain

Details Entropy and Correlation Functions of a Driven Quantum Spin Chain Entropy and Correlation Functions of a Driven Quantum Spin Chain

2005-12-28

arxiv.org/abs/cond-mat/0512689v1

Phys. Rev. A 73, 043614 (2006)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

16 pgs, 7 fgs

Scientific paper

10.1103/PhysRevA.73.043614

We present an exact solution for a quantum spin chain driven through its critical points. Our approach is based on a many-body generalization of the Landau-Zener transition theory, applied to fermionized spin Hamiltonian. The resulting nonequilibrium state of the system, while being a pure quantum state, has local properties of a mixed state characterized by finite entropy density associated with Kibble-Zurek defects. The entropy, as well as the finite spin correlation length, are functions of the rate of sweep through the critical point. We analyze the anisotropic XY spin 1/2 model evolved with a full many-body evolution operator. With the help of Toeplitz determinants calculus, we obtain an exact form of correlation functions. The properties of the evolved system undergo an abrupt change at a certain critical sweep rate, signaling formation of ordered domains. We link this phenomenon to the behavior of complex singularities of the Toeplitz generating function.

Affiliated with

Also associated with

No associations

Rating

Entropy and Correlation Functions of a Driven Quantum Spin Chain does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Entropy and Correlation Functions of a Driven Quantum Spin Chain, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Entropy and Correlation Functions of a Driven Quantum Spin Chain will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-668954