Fetching the paper…

Reading the bibliography…

Universal scaling in fast quantum quenches in conformal field theories · Around

2014

Universal scaling in fast quantum quenches in conformal field theories

Das, Sumit R., Galante, Damian A., Myers, Robert C.

Original
PDF
Post on X

Understand

We study the time evolution of a conformal field theory deformed by a relevant operator under a smooth but fast quantum quench which brings it to the conformal point.

We argue that when the quench time scale $\delta t$ is small compared to the scale set by the relevant coupling, the expectation value of the quenched operator scales universally as $\delta g/ \delta t ^{2\Delta-d}$ where $\delta g$ is the quench amplitude.
This growth is further enhanced by a logarithmic factor in even dimensions.
We present explicit results for free scalar and fermionic field theories, supported by an analytic understanding of the leading contribution for fast quenches.

Built on

C. Bernard and A. Duncan, “Regularization and Renormalization of Quantum Field Theory in Curved Space-Time,” Ann. Phys. 107
1977
Earlier work this paper cites.
A. Duncan, “Explicit Dimensional Renormalization of Quantum Field Theory in Curved Space-Time,” Phys. Rev. D 17
1978
Earlier work this paper cites.
N. D. Birrell, P. C. W. Davies, Quantum Fields In Curved Space
1982
Earlier work this paper cites.
T. W. B. Kibble, J. Phys.A 9, 1387 (1976); W. H. Zurek, Nature 317, 505 (1985)
1985
Earlier work this paper cites.
J. H. Traschen and R. H. Brandenberger, “Particle Production During Out-of-equilibrium Phase Transitions,” Phys. Rev. D 42
1990
Earlier work this paper cites.

Similar

P. Calabrese and J. L. Cardy, “Time-dependence of correlation functions following a quantum quench,” Phys. Rev. Lett. 96
Original
2006
Cited alongside, same era.
S. Sotiriadis and J. Cardy, “Quantum quench in interacting field theory: A Self-consistent approximation,” Phys. Rev. B 81
Original
2010
Cited alongside, same era.
See, for example: R. A. Janik and R. B. Peschanski, “Gauge/gravity duality and thermalization of a boost-invariant perfect fluid,” Phys. Rev. D 74
Original
2010
Cited alongside, same era.
For example, see the following reviews: S. Mondal, D. Sen and K. Sengupta, “Non-equilibrium dynamics of quantum systems: order parameter evolution, defect generation, and qubit transfer,” Quantum Quenching, Anealing and Computation
Original
2011
Cited alongside, same era.
X. Dong, B. Horn, E. Silverstein and G. Torroba, “Unitarity bounds and RG flows in time dependent quantum field theory,” Phys. Rev. D 86
Original
2012
Cited alongside, same era.
For a review and further references, see: V. Gritsev and A. Polkovnikov, “Universal Dynamics Near Quantum Critical Points,” arXiv:0910.3692 [cond-mat.stat-mech]
Original
Cited in the paper.
S. R. Das, D. A. Galante, R. C. Myers, in preparation
Cited in the paper.
S.D. Sarkar, R. Sensarma and K. Sengupta, ”A perturbative renormalization group approach to driven quantum systems”, [arXiv:1308.4689 [cond-mat.str-el]]
Original
Cited in the paper.

Then

P. Basu and S. R. Das, “Quantum Quench across a Holographic Critical Point,” JHEP 1201
Original
2013
Later among the works it cites.
K. Murata, S. Kinoshita and N. Tanahashi, “Non-equilibrium Condensation Process in a Holographic Superconductor,” JHEP 1007
Original
2013
Later among the works it cites.
A. Buchel, L. Lehner and R. C. Myers, “Thermal quenches in N=2* plasmas,” JHEP 1208
Original
2013
Later among the works it cites.
A. Buchel, R. C. Myers and A. van Niekerk, “Universality of Abrupt Holographic Quenches,” Phys. Rev. Lett. 111
Original
2013
Later among the works it cites.
See, for example: S. Sotiriadis and J.L. Cardy in cc3 ; S. R. Das and K. Sengupta, “Non-equilibrium Dynamics of O(N) Nonlinear Sigma models: a Large-N approach,” JHEP 1209

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Original

2013

Later among the works it cites.