Statistics of the Work in Quantum Quenches, Universality and the Critical Casimir Effect

R. Evans and J. Stecki, Phys. Rev. B 49

1994

Earlier work this paper cites.

C. Jarzynski, Phys. Rev. Lett. 78

1997

Earlier work this paper cites.

H. W. Diehl, in Phase Transitions and Critical Phenomena

1997

Earlier work this paper cites.

S. Sachdev, Quantum Phase Transitions

1999

Earlier work this paper cites.

M. Greiner et al

2006

Earlier work this paper cites.

P. Calabrese and J. Cardy, J. Stat. Mech. (2007) P10004

2007

Earlier work this paper cites.

J. Kurchan, arXiv:cond-mat/0007360v2; P. Talkner, E. Lutz, and P. Hänggi, Phys. Rev. E 75

2007

Cited alongside, same era.

R. A. Jalabert and H. M. Pastawski, Phys. Rev. Lett. 86

2007

Cited alongside, same era.

W. H. Zurek, U. Dorner, P. Zoller, Phys. Rev. Lett. 95

2008

Cited alongside, same era.

A. Silva, Phys. Rev. Lett. 101

2008

Cited alongside, same era.

M. Heyl, S. Kehrein, arXiv:1006.3522; A. Faribault, P. Calabrese, J.-S. Caux J. Stat. Mech. (2009); P03018; F. N.C. Paraan, A. Silva, Phys. Rev. E 80

Original

2009

Cited alongside, same era.

M. Krech, Casimir Effect in Critical Systems (World Scientific, Singapore, 1994); A. Gambassi, J. Phys.: Conf. Ser. 161

2009

Cited alongside, same era.

A. Polkovnikov, K. Sengupta, A. Silva and M. Vengalattore, arXiv:1007.5331

Original

Cited in the paper.

While an additional, parity-sector changing, multiplicative factor of the form ( 1 + v 0 ​ γ 0 † ) (1+v_{0}\gamma^{\dagger}_{0}) is admissible on the rhs of this equation, it will be omitted here. Ultimately, this zero-momentum mode will emerge by taking appropriately the thermodynamic limit (see Eq.( 22

Cited in the paper.

Particular care has to be taken here. Indeed, expanding tan ⁡ ( 2 ​ θ k ) ≃ k / ( g − 1 + k 2 / 2 ) \tan(2\theta_{k})\simeq k/(g-1+k^{2}/2) , a finite momentum scale k ∗ = 2 ​ Δ k^{*}=\sqrt{2\Delta} controlling the asymptotic behavior of θ k \theta_{k} naturally emerges. However if one reinstates the energy scale J J and the lattice spacing a a , then k ∗ = 2 ​ Δ / ( c ​ a ) k^{*}=\sqrt{2\Delta/(ca)} , where c = J ​ a c=Ja and Δ = J ​ | g − 1 | \Delta=J|g-1| in dimensionfull units. Since the scaling limit corresponds to taking a → 0 a\rightarrow 0 , J → + ∞ J\rightarrow+\infty and g → 1 g\rightarrow 1 in such a way as to keep Δ \Delta and c c finite then k ∗ → + ∞ k^{*}\rightarrow+\infty

Cited in the paper.

L. C. Venuti and P. Zanardi, Phys. Rev. Lett. 99

2010

Later among the works it cites.

M. Hasenbusch, Phys. Rev. B 82

2010

Later among the works it cites.

J. Rudnick, it et al., Phys. Rev. E 82

2010

Later among the works it cites.

A. Gambassi and P. Calabrese, arXiv:1012.5294 (2010)

Original

2010

Later among the works it cites.

A. Polkovnikov, Annals of Phys. 326

2011

Closest in time.

A. Gambassi and A. Silva, to appear (2011)

2011

Closest in time.