Built on

Dover Publications, 1965
M. Abramowitz and I. Stegun, Handbook of Mathematical Functions · 1965
Earlier work this paper cites.
Butterworth Heinemann. Butterworth-Heinemann, 1977
L. Landau and E. Lifshitz, Quantum Mechanics: Non-relativistic Theory · 1977
Earlier work this paper cites.
A. Duncan, Explicit Dimensional Renormalization of Quantum Field Theory in Curved Space-Time
1978
Earlier work this paper cites.
P. Deift and E. Trubowitz, Inverse scattering on the line
1979
Earlier work this paper cites.
Cambridge Monographs on Mathematical Physics. Cambridge University Press, 1984
N. Birrell and P. Davies, Quantum Fields in Curved Space · 1984
Earlier work this paper cites.
A. Cohen and T. Kappeler, Scattering and inverse scattering for steplike potentials in the schroedinger equation
1985
Earlier work this paper cites.
Modern Methods of Plant Analysis. Springer-Verlag, 1986
A. Perelomov, Generalized Coherent States and Their Applications · 1986
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E. Bergshoeff, C. N. Pope, L. J. Romans, E. Sezgin, and X. Shen, The Super W W (infinity) Algebra
1990
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I. Bakas and E. Kiritsis, Bosonic Realization of a Universal W W Algebra and Z Z (infinity) Parafermions
1991
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Cambridge University Press, 1997
M. Scully and M. Zubairy, Quantum Optics · 1997
Earlier work this paper cites.
PhD thesis, Leuven U., 2000
B. Craps, D-branes and boundary states in closed string theories · 2000
Earlier work this paper cites.
P. Calabrese and J. Cardy, Time Dependence of Correlation Functions Following a Quantum Quench
2006
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M. Rigol, V. Dunjko, V. Yurovsky, and M. Olshanii, Relaxation in a completely integrable many-body quantum system: An Ab Initio study of the dynamics of the highly excited states of 1d lattice hard-core bosons
2007
Earlier work this paper cites.
G. Festuccia and H. Liu, The Arrow of time, black holes, and quantum mixing of large N Yang-Mills theories
2007
Earlier work this paper cites.

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2015

Thermalization in 2D critical quench and UV/IR mixing

Mandal, Gautam, Paranjape, Shruti, Sorokhaibam, Nilakash

Understand

We consider quantum quenches in models of free scalars and fermions with a generic time-dependent mass $m(t)$ that goes from $m_0$ to zero.

We prove that, as anticipated in MSS \cite{Mandal:2015jla}, the post-quench dynamics can be described in terms of a state of the generalized Calabrese-Cardy form $|\psi \rangle$= $\exp[-\kappa_2 H -\sum_{n>2}^\infty \kappa_n W_n]| \hbox{Bd} \rangle$.
The $W_n$ ($n=2,3,...$, $W_2=H$) here represent the conserved $W_\infty$ charges and $| \hbox{Bd} \rangle$ represents a conformal boundary state.
Our result holds irrespective of whether the pre-quench state is a ground state or a squeezed state, and is proved without recourse to perturbation expansion in the $\kappa_n$'s as in MSS.

Built on

Dover Publications, 1965
M. Abramowitz and I. Stegun, Handbook of Mathematical Functions · 1965
Earlier work this paper cites.
Butterworth Heinemann. Butterworth-Heinemann, 1977
L. Landau and E. Lifshitz, Quantum Mechanics: Non-relativistic Theory · 1977
Earlier work this paper cites.
A. Duncan, Explicit Dimensional Renormalization of Quantum Field Theory in Curved Space-Time
1978
Earlier work this paper cites.
P. Deift and E. Trubowitz, Inverse scattering on the line
1979
Earlier work this paper cites.
Cambridge Monographs on Mathematical Physics. Cambridge University Press, 1984
N. Birrell and P. Davies, Quantum Fields in Curved Space · 1984
Earlier work this paper cites.
A. Cohen and T. Kappeler, Scattering and inverse scattering for steplike potentials in the schroedinger equation
1985
Earlier work this paper cites.
Modern Methods of Plant Analysis. Springer-Verlag, 1986
A. Perelomov, Generalized Coherent States and Their Applications · 1986
Earlier work this paper cites.
E. Bergshoeff, C. N. Pope, L. J. Romans, E. Sezgin, and X. Shen, The Super W W (infinity) Algebra
1990
Earlier work this paper cites.
I. Bakas and E. Kiritsis, Bosonic Realization of a Universal W W Algebra and Z Z (infinity) Parafermions
1991
Earlier work this paper cites.
Cambridge University Press, 1997
M. Scully and M. Zubairy, Quantum Optics · 1997
Earlier work this paper cites.
PhD thesis, Leuven U., 2000
B. Craps, D-branes and boundary states in closed string theories · 2000
Earlier work this paper cites.
P. Calabrese and J. Cardy, Time Dependence of Correlation Functions Following a Quantum Quench
2006
Earlier work this paper cites.
M. Rigol, V. Dunjko, V. Yurovsky, and M. Olshanii, Relaxation in a completely integrable many-body quantum system: An Ab Initio study of the dynamics of the highly excited states of 1d lattice hard-core bosons
2007
Earlier work this paper cites.
G. Festuccia and H. Liu, The Arrow of time, black holes, and quantum mixing of large N Yang-Mills theories
2007
Earlier work this paper cites.