Assisted Finite-Rate Adiabatic Passage Across a Quantum Critical Point: Exact Solution for the Quantum Ising Model

del Campo, Adolfo; Rams, Marek M.; Zurek, Wojciech H.

doi:10.1103/PhysRevLett.109.115703

Title: Assisted Finite-Rate Adiabatic Passage Across a Quantum Critical Point: Exact Solution for the Quantum Ising Model

Full Record
Other Related Research

Authors:: del Campo, Adolfo; Rams, Marek M.; Zurek, Wojciech H.

Publication Date:: Thu Sep 13 00:00:00 EDT 2012

Sponsoring Org.:: USDOE

OSTI Identifier:: 1103326

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Physical Review Letters

Additional Journal Information:: Journal Volume: 109; Journal Issue: 11; Journal ID: ISSN 0031-9007

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Citation Formats


                    del Campo, Adolfo, Rams, Marek M., and Zurek, Wojciech H. Assisted Finite-Rate Adiabatic Passage Across a Quantum Critical Point: Exact Solution for the Quantum Ising Model.  United States: N. p., 2012. 
Web.  doi:10.1103/PhysRevLett.109.115703.

Copy to clipboard


                    del Campo, Adolfo, Rams, Marek M., & Zurek, Wojciech H. Assisted Finite-Rate Adiabatic Passage Across a Quantum Critical Point: Exact Solution for the Quantum Ising Model.  United States.  https://doi.org/10.1103/PhysRevLett.109.115703

Copy to clipboard


                    del Campo, Adolfo, Rams, Marek M., and Zurek, Wojciech H. Thu .  
"Assisted Finite-Rate Adiabatic Passage Across a Quantum Critical Point: Exact Solution for the Quantum Ising Model".  United States.  https://doi.org/10.1103/PhysRevLett.109.115703.

Copy to clipboard


                    
@article{osti_1103326,

  title        = {Assisted Finite-Rate Adiabatic Passage Across a Quantum Critical Point: Exact Solution for the Quantum Ising Model},

  author       = {del Campo, Adolfo and Rams, Marek M. and Zurek, Wojciech H.},

  abstractNote = {},

  doi          = {10.1103/PhysRevLett.109.115703},

  journal      = {Physical Review Letters},

  number       = 11,

  volume       = 109,

  place        = {United States},

  year         = {Thu Sep 13 00:00:00 EDT 2012},

  month        = {Thu Sep 13 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/PhysRevLett.109.115703

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 217 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:

Transfer matrix spectrum for the finite-width Ising model with adjustable boundary conditions: Exact solution

Journal Article Abraham, D B ; Ko, L F ; Svrakic, N M - Journal of Statistical Physics; (USA)

Using the spinor approach, the authors calculate exactly the complete spectrum of the transfer matrix for the finite-width, planar Ising model with adjustable boundary conditions. Specifically, in order to control the boundary conditions, they consider an Ising model wrapped around the cylinder, and introduce along the axis a seam of defect bonds of variable strength. Depending on the boundary conditions used, the mass gap is found to vanish algebraically or exponentially with the size of the system. These results are compared with recent numerical simulations, and with random-walk and capillary-wave arguments.
https://doi.org/10.1007/BF01016767
Behavior of the finite-sized, three-dimensional, Ising model near the critical point

Conference Baker, Jr, G A ; Gupta, R

Recent work showing the validity of hyperscaling involved results for finite size systems very near the critical point. The authors study this problem in more detail, and give estimators related to the Binder cumulant ratio which seem to approach the critical temperature from above and below. Based on these results, they estimate that the renormalized coupling constant, computed for the temperature fixed at the critical temperature and then taking the large system-size limit, is about 4.9 {+-} 0.1, and give a likely lower bound for it of 4.5. These estimates are argued to suffice to show the validity of hyperscaling.
Full Text Available
New method for obtaining exact solutions of the Ising problem for finite arrays of coupled chains

Journal Article Fedro, A J - Phys. Rev., B; (United States)

A new exact method for calculating thermodynamic averages and multisite correlation functions for an arbitrary array of infinite linear chains interacting via the Ising Hamiltonian in a magnetic field is presented. The general analytical properties of such solutions for planar arrays have been discussed by Kramers and Wannier and by Ferdinand and Fisher, although no formal expressions could be given. The limit of an infinite planar array of chains, of course, was solved by Onsager. As shown by Ferdinand and Fisher the three-chain problem already has a specific-heat behavior remarkably similar to that of the Onsager case apart from themore »« less
https://doi.org/10.1103/PhysRevB.14.2983
Thermodynamics of the quantum critical point at finite doping in the two-dimensional Hubbard model studied via the dynamical cluster approximation

Journal Article Mikelsons, K. ; Khatami, E. ; Galanakis, D. ; ... - Physical Review. B, Condensed Matter and Materials Physics

We study the thermodynamics of the two-dimensional Hubbard model within the dynamical cluster approximation. We use continuous time quantum Monte Carlo as a cluster solver to avoid the systematic error which complicates the calculation of the entropy and potential energy (double occupancy). We find that at a critical filling, there is a pronounced peak in the entropy divided by temperature, S/T , and in the normalized double occupancy as a function of doping. At this filling, we find that specific heat divided by temperature, C/T , increases strongly with decreasing temperature and kinetic and potential energies vary like T2lnT .more »« less
https://doi.org/10.1103/physrevb.80.140505
Exact renormalization group exhibiting tricritical fixed point for a spin-one Ising model in one dimension

Journal Article Krinsky, S ; Furman, D - Phys. Rev., B; (United States)
https://doi.org/10.1103/PhysRevB.11.2602

Similar Records