Decoherence and relaxation of topological states in extended quantum Ising models

被引:3
作者
Weisbrich, Hannes [1 ]
Belzig, Wolfgang [1 ]
Rastelli, Gianluca [1 ,2 ]
机构
[1] Univ Konstanz, Fachbereich Phys, D-78457 Constance, Germany
[2] Univ Konstanz, Zukunftskolleg, D-78457 Constance, Germany
来源
SCIPOST PHYSICS | 2019年 / 6卷 / 03期
关键词
STATISTICAL-MECHANICS; ENTANGLEMENT; TEMPERATURE; SYSTEMS; DRIVEN; CHAIN;
D O I
10.21468/SciPostPhys.6.3.037
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study the decoherence and the relaxation dynamics of topological states in an extended class of quantum Ising chains which can present a multidimensional ground state subspace. The leading interaction of the spins with the environment is assumed to be the local fluctuations of the transverse magnetic field. By deriving the Lindblad equation using the many-body states, we investigate the relation between decoherence, energy relaxation and topology. In particular, in the topological phase and at low temperature, we analyze the dephasing rates between the different degenerate ground states.
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页数:24
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共 83 条
  • [1] Entanglement in many-body systems
    Amico, Luigi
    Fazio, Rosario
    Osterloh, Andreas
    Vedral, Vlatko
    [J]. REVIEWS OF MODERN PHYSICS, 2008, 80 (02) : 517 - 576
  • [2] Steady-state entanglement of spatially separated qubits via quantum bath engineering
    Aron, Camille
    Kulkarni, Manas
    Tuereci, Hakan E.
    [J]. PHYSICAL REVIEW A, 2014, 90 (06):
  • [3] Emulating Majorana fermions and their braiding by Ising spin chains
    Backens, Stefan
    Shnirman, Alexander
    Makhlin, Yuriy
    Gefen, Yuval
    Mooij, Johan E.
    Schoen, Gerd
    [J]. PHYSICAL REVIEW B, 2017, 96 (19)
  • [4] Digitized adiabatic quantum computing with a superconducting circuit
    Barends, R.
    Shabani, A.
    Lamata, L.
    Kelly, J.
    Mezzacapo, A.
    Heras, U. Las
    Babbush, R.
    Fowler, A. G.
    Campbell, B.
    Chen, Yu
    Chen, Z.
    Chiaro, B.
    Dunsworth, A.
    Jeffrey, E.
    Lucero, E.
    Megrant, A.
    Mutus, J. Y.
    Neeley, M.
    Neill, C.
    O'Malley, P. J. J.
    Quintana, C.
    Roushan, P.
    Sank, D.
    Vainsencher, A.
    Wenner, J.
    White, T. C.
    Solano, E.
    Neven, H.
    Martinis, John M.
    [J]. NATURE, 2016, 534 (7606) : 222 - 226
  • [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] Josephson ladders as a model system for 1D quantum phase transitions
    Bell, Matthew T.
    Doucot, Benoit
    Gershenson, Michael E.
    Ioffe, Lev B.
    Petkovic, Aleksandra
    [J]. COMPTES RENDUS PHYSIQUE, 2018, 19 (06) : 484 - 497
  • [7] Dynamical quantum phase transitions in extended transverse Ising models
    Bhattacharjee, Sourav
    Dutta, Amit
    [J]. PHYSICAL REVIEW B, 2018, 97 (13)
  • [8] Breuer H-P., 2002, The theory of open quantum systems
  • [9] Algebraic versus Exponential Decoherence in Dissipative Many-Particle Systems
    Cai, Zi
    Barthel, Thomas
    [J]. PHYSICAL REVIEW LETTERS, 2013, 111 (15)
  • [10] Quantum Quench in the Transverse-Field Ising Chain
    Calabrese, Pasquale
    Essler, Fabian H. L.
    Fagotti, Maurizio
    [J]. PHYSICAL REVIEW LETTERS, 2011, 106 (22)