Time-dependent evolution of two coupled Luttinger liquids

Details Time-dependent evolution of two coupled Luttinger liquids Time-dependent evolution of two coupled Luttinger liquids

2006-07-27

arxiv.org/abs/cond-mat/0607720v2

Phys. Rev. B 74, 205123 (2006)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

6 pages, 1 eps fig, revised version accepted for publication in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.74.205123

We consider two disconnected Luttinger liquids which are coupled at $t=0$ through chiral density-density interactions. Both for $t<0$ and $t \geq 0$ the system is exactly solvable by means of bosonization and this allows to evaluate analytically the time-dependence of correlation functions. We find that in the long-time limit the critical exponent governing the one-particle correlation function differs from the exponent dictated by the equilibrium ground state of the coupled system. We also discuss how this reflects on some physical quantities which are accessible in real experiments.

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