Dynamical topological quantum phase transitions for mixed states

被引：91

作者：

Heyl, M. ^{[1
]}

Budich, J. C. ^{[2
]}

机构：

[1] Max Planck Inst Phys Komplexer Syst, Nothnitzer Str 38, D-01187 Dresden, Germany

[2] Univ Gothenburg, Dept Phys, SE-41296 Gothenburg, Sweden

来源：

PHYSICAL REVIEW B | 2017年 / 96卷 / 18期

关键词：

ATOMS; REALIZATION; LATTICE; MATTER; MODEL;

D O I：

10.1103/PhysRevB.96.180304

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We introduce and study the dynamical probes of band-structure topology in the postquench time evolution of quantum many-body systems initialized in mixed states. Our construction generalizes the notion of dynamical quantum phase transitions (DQPTs), a real-time counterpart of conventional equilibrium phase transitions in quantum dynamics, to finite temperatures and generalized Gibbs ensembles. The nonanalytical signatures hallmarking these mixed-state DQPTs are found to be characterized by observable phase singularities manifesting in the dynamical formation of vortex-antivortex pairs in the interferometric phase of the density matrix. Studying quenches in Chern insulators, we find that changes in the topological properties of the Hamiltonian can be identified in this scenario, without ever preparing a topologically nontrivial or low-temperature initial state. Our observations are of immediate relevance for current experiments aimed at realizing topological phases in ultracold atomic gases.

引用

页数：5

共 42 条

[1] Quantum quench dynamics in the transverse field Ising model at nonzero temperatures [J].

Abeling, Nils O. ;

Kehrein, Stefan .

PHYSICAL REVIEW B, 2016, 93 (10)

[2] Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms [J].

Aidelsburger, M. ;

Lohse, M. ;

Schweizer, C. ;

Atala, M. ;

Barreiro, J. T. ;

Nascimbene, S. ;

Cooper, N. R. ;

Bloch, I. ;

Goldman, N. .

NATURE PHYSICS, 2015, 11 (02) :162-166

[3] Realization of the Hofstadter Hamiltonian with Ultracold Atoms in Optical Lattices [J].

Aidelsburger, M. ;

Atala, M. ;

Lohse, M. ;

Barreiro, J. T. ;

Paredes, B. ;

Bloch, I. .

PHYSICAL REVIEW LETTERS, 2013, 111 (18)

[4] Experimental Realization of Strong Effective Magnetic Fields in an Optical Lattice [J].

Aidelsburger, M. ;

Atala, M. ;

Nascimbene, S. ;

Trotzky, S. ;

Chen, Y. -A. ;

Bloch, I. .

PHYSICAL REVIEW LETTERS, 2011, 107 (25)

[5] Observation of chiral currents with ultracold atoms in bosonic ladders [J].

Atala, Marcos ;

Aidelsburger, Monika ;

Lohse, Michael ;

Barreiro, Julio T. ;

Paredes, Belen ;

Bloch, Immanuel .

NATURE PHYSICS, 2014, 10 (08) :588-593

[6] A quantum gas microscope for detecting single atoms in a Hubbard-regime optical lattice [J].

Bakr, Waseem S. ;

Gillen, Jonathon I. ;

Peng, Amy ;

Foelling, Simon ;

Greiner, Markus .

NATURE, 2009, 462 (7269) :74-U80

[7] Emergent topology and dynamical quantum phase transitions in two-dimensional closed quantum systems [J].

Bhattacharya, Utso ;

Dutta, Amit .

PHYSICAL REVIEW B, 2017, 96 (01)

[8] Dynamical topological order parameters far from equilibrium [J].

Budich, Jan Carl ;

Heyl, Markus .

PHYSICAL REVIEW B, 2016, 93 (08)

[9] Quantum Quenches in Chern Insulators [J].

Caio, M. D. ;

Cooper, N. R. ;

Bhaseen, M. J. .

PHYSICAL REVIEW LETTERS, 2015, 115 (23)

[10] First-Order Dynamical Phase Transitions [J].

Canovi, Elena ;

Werner, Philipp ;

Eckstein, Martin .

PHYSICAL REVIEW LETTERS, 2014, 113 (26)

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