Nonequilibrium quantum phase transitions in the Ising model

被引:56
作者
Bastidas, V. M. [1 ]
Emary, C. [1 ]
Schaller, G. [1 ]
Brandes, T. [1 ]
机构
[1] Tech Univ Berlin, Inst Theoret Phys, D-10623 Berlin, Germany
关键词
COSMOLOGICAL EXPERIMENTS; SPIN CHAINS;
D O I
10.1103/PhysRevA.86.063627
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We establish a set of nonequilibrium quantum phase transitions in the Ising model driven under monochromatic nonadiabatic modulation of the transverse field. We show that besides the Ising-like critical behavior, the system exhibits an anisotropic transition which is absent in equilibrium. The nonequilibrium quantum phases correspond to states which are synchronized with the external control in the long-time dynamics. DOI:10.1103/PhysRevA.86.063627
引用
收藏
页数:9
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共 48 条
  • [1] Abramowitz M., 1972, Handbook on Mathematical Functions with Formulas, Graphs, and Mathematical Tables
  • [2] Nonadiabaticity and large fluctuations in a many-particle Landau-Zener problem
    Altland, Alexander
    Gurarie, V.
    Kriecherbauer, T.
    Polkovnikov, A.
    [J]. PHYSICAL REVIEW A, 2009, 79 (04):
  • [3] Arnold V. I., 1978, Mathematical methods of classical mechanics
  • [4] Two-level systems driven by large-amplitude fields
    Ashhab, S.
    Johansson, J. R.
    Zagoskin, A. M.
    Nori, Franco
    [J]. PHYSICAL REVIEW A, 2007, 75 (06):
  • [5] STATISTICAL MECHANICS OF XY-MODEL .2. SPIN-CORRELATION FUNCTIONS
    BAROUCH, E
    MCCOY, BM
    [J]. PHYSICAL REVIEW A-GENERAL PHYSICS, 1971, 3 (02): : 786 - +
  • [6] An open-system quantum simulator with trapped ions
    Barreiro, Julio T.
    Mueller, Markus
    Schindler, Philipp
    Nigg, Daniel
    Monz, Thomas
    Chwalla, Michael
    Hennrich, Markus
    Roos, Christian F.
    Zoller, Peter
    Blatt, Rainer
    [J]. NATURE, 2011, 470 (7335) : 486 - 491
  • [7] Nonequilibrium Quantum Phase Transitions in the Dicke Model
    Bastidas, V. M.
    Emary, C.
    Regler, B.
    Brandes, T.
    [J]. PHYSICAL REVIEW LETTERS, 2012, 108 (04)
  • [8] Transverse Ising chain under periodic instantaneous quenches: Dynamical many-body freezing and emergence of slow solitary oscillations
    Bhattacharyya, Sirshendu
    Das, Arnab
    Dasgupta, Subinay
    [J]. PHYSICAL REVIEW B, 2012, 86 (05)
  • [9] Effect of disorder on quantum phase transitions in anisotropic XY spin chains in a transverse field
    Bunder, JE
    McKenzie, RH
    [J]. PHYSICAL REVIEW B, 1999, 60 (01) : 344 - 358
  • [10] Quantum Criticality in an Ising Chain: Experimental Evidence for Emergent E8 Symmetry
    Coldea, R.
    Tennant, D. A.
    Wheeler, E. M.
    Wawrzynska, E.
    Prabhakaran, D.
    Telling, M.
    Habicht, K.
    Smeibidl, P.
    Kiefer, K.
    [J]. SCIENCE, 2010, 327 (5962) : 177 - 180