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Smooth and fast versus instantaneous quenches in quantum field theory · Around

2015

Smooth and fast versus instantaneous quenches in quantum field theory

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

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We examine in detail the relationship between smooth fast quantum quenches, characterized by a time scale $\delta t$, and {\em instantaneous quenches}, within the framework of exactly solvable mass quenches in free scalar field theory.

Our earlier studies \cite{dgm1,dgm2} highlighted that the two protocols remain distinct in the limit $\delta t \rightarrow 0$ because of the relation of the quench rate to the UV cut-off, i.e., $1/\delta t\ll\Lambda$ always holds in the fast smooth quenches while $1/\delta t\sim\Lambda$ for instantaneous quenches.
Here we study UV finite quantities like correlators at finite spatial distances and the excess energy produced above the final ground state energy.
We show that at late times and large distances (compared to the quench time scale) the smooth quench correlator approaches that for the instantaneous quench.

Built on

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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
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A. Chandran, A. Erez, S. S. Gubser and S. L. Sondhi, “Kibble-Zurek problem: Universality and the scaling limit,” Phys. Rev. B 86

Then

A. Buchel, R. C. Myers and A. van Niekerk, “Universality of Abrupt Holographic Quenches,” Phys. Rev. Lett. 111
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2013
Later among the works it cites.
S. R. Das, D. A. Galante and R. C. Myers, “Universal scaling in fast quantum quenches in conformal field theories,” Phys. Rev. Lett. 112
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K. Murata, S. Kinoshita and N. Tanahashi, “Non-equilibrium Condensation Process in a Holographic Superconductor,” JHEP 1007
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D. Berenstein and A. Miller, “Conformal perturbation theory, dimensional regularization, and AdS/CFT correspondence,” Phys. Rev. D 90
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2014
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S. R. Das, D. A. Galante and R. C. Myers, “Universality in fast quantum quenches,” JHEP 1502

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2012

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A. Buchel, L. Lehner and R. C. Myers, “Thermal quenches in N=2* plasmas,” JHEP 1208

2013

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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]

Cited in the paper.

S. R. Das, D. A. Galante and R. C. Myers, in preparation

Cited in the paper.

2015

Closest in time.

P. Basu and S. R. Das, “Quantum Quench across a Holographic Critical Point,” JHEP 1201

2015

Closest in time.