Quench dynamics in randomly generated extended quantum models

Brandino, G. P.; De Luca, A.; Konik, R. M.; Mussardo, G.

doi:10.1103/PhysRevB.85.214435

Title: Quench dynamics in randomly generated extended quantum models

Full Record
Other Related Research

Authors:: Brandino, G. P.; De Luca, A.; Konik, R. M.; Mussardo, G.

Publication Date:: Wed Jun 27 00:00:00 EDT 2012

Sponsoring Org.:: USDOE

OSTI Identifier:: 1103669

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Physical Review B

Additional Journal Information:: Journal Volume: 85; Journal Issue: 21; Journal ID: ISSN 1098-0121

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Citation Formats


                    Brandino, G. P., De Luca, A., Konik, R. M., and Mussardo, G. Quench dynamics in randomly generated extended quantum models.  United States: N. p., 2012. 
Web.  doi:10.1103/PhysRevB.85.214435.

Copy to clipboard


                    Brandino, G. P., De Luca, A., Konik, R. M., & Mussardo, G. Quench dynamics in randomly generated extended quantum models.  United States.  https://doi.org/10.1103/PhysRevB.85.214435

Copy to clipboard


                    Brandino, G. P., De Luca, A., Konik, R. M., and Mussardo, G. Wed .  
"Quench dynamics in randomly generated extended quantum models".  United States.  https://doi.org/10.1103/PhysRevB.85.214435.

Copy to clipboard


                    
@article{osti_1103669,

  title        = {Quench dynamics in randomly generated extended quantum models},

  author       = {Brandino, G. P. and De Luca, A. and Konik, R. M. and Mussardo, G.},

  abstractNote = {},

  doi          = {10.1103/PhysRevB.85.214435},

  journal      = {Physical Review B},

  number       = 21,

  volume       = 85,

  place        = {United States},

  year         = {Wed Jun 27 00:00:00 EDT 2012},

  month        = {Wed Jun 27 00:00:00 EDT 2012}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (Publisher)

Publisher's Version of Record
https://doi.org/10.1103/PhysRevB.85.214435

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 71 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Similar Records in DOE PAGES and OSTI.GOV collections:

Entropy of entanglement and correlations induced by a quench: Dynamics of a quantum phase transition in the quantum Ising model

Journal Article Cincio, Lukasz ; Dziarmaga, Jacek ; Rams, Marek M ; ... - Physical Review. A

Quantum Ising model in one dimension is an exactly solvable example of a quantum phase transition. We investigate its behavior during a quench caused by a gradual turning off of the transverse bias field. The system is then driven at a fixed rate characterized by the quench time {tau}{sub Q} across the critical point from a paramagnetic to ferromagnetic phase. In agreement with Kibble-Zurek mechanism (which recognizes that evolution is approximately adiabatic far away, but becomes approximately impulse sufficiently near the critical point), quantum state of the system after the transition exhibits a characteristic correlation length {xi} proportional to themore »« less
https://doi.org/10.1103/PHYSREVA.75.052321
Quantum wavepacket ab initio molecular dynamics: Generalizations using an extended Lagrangian treatment of diabatic states coupled through multireference electronic structure

Journal Article Xiaohu, Li ; Iyengar, Srinivasan S - Journal of Chemical Physics

We present a generalization to our previously developed quantum wavepacket ab initio molecular dynamics (QWAIMD) method by using multiple diabatic electronic reduced single particle density matrices, propagated within an extended Lagrangian paradigm. The Slater determinantal wavefunctions associated with the density matrices utilized may be orthogonal or nonorthogonal with respect to each other. This generalization directly results from an analysis of the variance in electronic structure with quantum nuclear degrees of freedom. The diabatic electronic states are treated here as classical parametric variables and propagated simultaneously along with the quantum wavepacket and classical nuclei. Each electronic density matrix is constrained tomore »« less
https://doi.org/10.1063/1.3504167
Quench dynamics near a quantum critical point: Application to the sine-Gordon model

Journal Article De Grandi, C ; Polkovnikov, A ; Gritsev, V - Physical Review. B, Condensed Matter and Materials Physics

We discuss the quench dynamics near a quantum critical point focusing on the sine-Gordon model as a primary example. We suggest a unified approach to sudden and slow quenches, where the tuning parameter {lambda}(t) changes in time as {lambda}(t){approx}{upsilon}t{sup r}, based on the adiabatic expansion of the excitation probability in powers of {upsilon}. We show that the universal scaling of the excitation probability can be understood through the singularity of the generalized adiabatic susceptibility {chi}{sub 2r+2}({lambda}), which for sudden quenches (r=0) reduces to the fidelity susceptibility. In turn this class of susceptibilities is expressed through the moments of the connectedmore »« less
https://doi.org/10.1103/PHYSREVB.81.224301
Quantum quench dynamics of the Luttinger model

Journal Article Iucci, A ; DPMC-MaNEP, University of Geneva, 24 Quai Ernest Ansermet, CH-1211 Geneva 4 ; Donostia International Physics Center ; ... - Physical Review. A

The dynamics of the Luttinger model after a quantum quench is studied. We compute in detail one- and two-point correlation functions for two types of quenches: from a noninteracting to an interacting Luttinger model and vice versa. In the former case, the noninteracting Fermi gas features in the momentum distribution and other correlation functions are destroyed as time evolves. In the infinite-time limit, equal-time correlations are power laws but the critical exponents are found to differ from their equilibrium values. In all cases, we find that these correlations are well described by a generalized Gibbs ensemble [M. Rigol, V. Dunjko,more »« less
https://doi.org/10.1103/PHYSREVA.80.063619
Quantum Quenches and Off-Equilibrium Dynamical Transition in the Infinite-Dimensional Bose-Hubbard Model

Journal Article Sciolla, Bruno ; Biroli, Giulio - Physical Review Letters

We study the off-equilibrium dynamics of the infinite-dimensional Bose-Hubbard model after a quantum quench. The dynamics can be analyzed exactly by mapping it to an effective Newtonian evolution. For integer filling, we find a dynamical transition separating regimes of small and large quantum quenches starting from the superfluid state. This transition is very similar to the one found for the fermionic Hubbard model by mean field approximations.
https://doi.org/10.1103/PHYSREVLETT.105.220401

Similar Records