Built on

M. Abramowitz and I.A. Stegun, Handbook of Mathematical Functions
1972
Earlier work this paper cites.
D, Forster, Hydrodynamic Fluctuations, Broken Symmetry, and Correlation Functions
Original
1975
Earlier work this paper cites.
T. W. B. Kibble, “Topology of Cosmic Domains and Strings,” J. Phys. A 9
1976
Earlier work this paper cites.
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.
W. H. Zurek, “Cosmological Experiments in Superfluid Helium?,” Nature 317
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

G. Parisi, “On Infrared Divergences,” Nucl. Phys. B 150
1991
Cited alongside, same era.
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

Then

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
Later among the works it cites.
P. Basu and S. R. Das, “Quantum Quench across a Holographic Critical Point,” JHEP 1201
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

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2014

Universality in fast quantum quenches

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

Understand

We expand on the investigation of the universal scaling properties in the early time behaviour of fast but smooth quantum quenches in a general $d$-dimensional conformal field theory deformed by a relevant operator of dimension $\Delta$ with a time-dependent coupling.

The quench consists of changing the coupling from an initial constant value $\lambda_1$ by an amount of the order of $\delta \lambda$ to some other final value $\lambda_2$, over a time scale $\delta t$.
In the fast quench limit where $\delta t$ is smaller than all other length scales in the problem, $ \delta t \ll \lambda_1^{1/(\Delta-d)}, \lambda_2^{1/(\Delta-d)}, \delta \lambda^{1/(\Delta-d)}$, the energy (density) injected into the system scales as $\delta{\cal E} \sim (\delta \lambda)^2 (\delta t)^{d-2\Delta}$.
Similarly, the change in the expectation value of the quenched operator at times earlier than the endpoint of the quench scales as $<{\cal O}_\Delta> \sim \delta \lambda (\delta t)^{d-2\Delta}$, with further logarithmic enhancements in certain cases.

Built on

M. Abramowitz and I.A. Stegun, Handbook of Mathematical Functions
1972
Earlier work this paper cites.
D, Forster, Hydrodynamic Fluctuations, Broken Symmetry, and Correlation Functions
Original
1975
Earlier work this paper cites.
T. W. B. Kibble, “Topology of Cosmic Domains and Strings,” J. Phys. A 9
1976
Earlier work this paper cites.
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.
W. H. Zurek, “Cosmological Experiments in Superfluid Helium?,” Nature 317
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

G. Parisi, “On Infrared Divergences,” Nucl. Phys. B 150
1991
Cited alongside, same era.
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

Then

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
Later among the works it cites.
P. Basu and S. R. Das, “Quantum Quench across a Holographic Critical Point,” JHEP 1201
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

2011

Cited alongside, same era.

S. R. Das, T. Nishioka and T. Takayanagi, “Probe Branes, Time-dependent Couplings and Thermalization in AdS/CFT,” JHEP 1007

Original

2011

Cited alongside, same era.

For example, see Dziarmaga in more ; A. Chandran, A. Erez, S. S. Gubser and S. L. Sondhi, “Kibble-Zurek problem: Universality and the scaling limit,” Phys. Rev. B 86

Original

2012

Cited alongside, same era.

P. Bizon and A. Rostworowski, “On weakly turbulent instability of anti-de Sitter space,” Phys. Rev. Lett. 107

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.

J. Sonner, A. del Campo and W. H. Zurek, “Universal far-from-equilibrium Dynamics of a Holographic Superconductor,” arXiv:1406.2329 [hep-th]; P. M. Chesler, A. M. Garcia-Garcia and H. Liu, arXiv:1407.1862 [hep-th]

Original

Cited in the paper.

S. R. Das, D. A. Galante and R. C. Myers, “The smooth and the abrupt quench at late times,” to appear

Cited in the paper.

M. A. Vasiliev, “Higher spin gauge theories: Star product and AdS space,” In *Shifman, M.A. (ed.): The many faces of the superworld* 533-610 [hep-th/9910096]

Cited in the paper.

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

2014

Closest in time.

S. R. Das, D. A. Galante and R. C. Myers, “Universal scaling in fast quantum quenches in conformal field theories,” Phys. Rev. Lett. 112

Original

2014

Closest in time.