A classification of invertible phases of bosonic quantum lattice systems in one dimension

Anton Kapustin; Nikita Sopenko; Bowen Yang

doi:10.1063/5.0055996

A classification of invertible phases of bosonic quantum lattice systems in one dimension

Journal of Mathematical Physics ◽

10.1063/5.0055996 ◽

2021 ◽

Vol 62 (8) ◽

pp. 081901

Author(s):

Anton Kapustin ◽

Nikita Sopenko ◽

Bowen Yang

Keyword(s):

One Dimension ◽

Lattice Systems ◽

Quantum Lattice ◽

Quantum Lattice Systems

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Numerical Simulation of Quantum Lattice Systems: Electron-Electron and Electron-Phonon Interactions in One Dimension

Monte Carlo Methods in Quantum Problems ◽

10.1007/978-94-009-6384-9_14 ◽

1984 ◽

pp. 203-233 ◽

Cited By ~ 2

Author(s):

Jorge E. Hirsch

Keyword(s):

Numerical Simulation ◽

One Dimension ◽

Lattice Systems ◽

Quantum Lattice ◽

Quantum Lattice Systems

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Cauchy problem for the BBGKY hierarchy. One-dimensional quantum lattice systems

Theoretical and Mathematical Physics ◽

10.1007/bf01017998 ◽

1979 ◽

Vol 39 (3) ◽

pp. 511-515 ◽

Cited By ~ 2

Author(s):

A. K. Vidybida

Keyword(s):

Cauchy Problem ◽

Bbgky Hierarchy ◽

Lattice Systems ◽

Quantum Lattice ◽

One Dimensional ◽

Quantum Lattice Systems

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Stochastic dynamics for quantum lattice systems and stochastic quantization I: Ergodicity.

Random Operators and Stochastic Equations ◽

10.1515/rose.1994.2.2.103 ◽

1994 ◽

Vol 2 (2) ◽

Cited By ~ 1

Author(s):

S. ALBEVERIO ◽

YU. G. KONDRATIEV ◽

T. V. TSIKALENKO

Keyword(s):

Stochastic Dynamics ◽

Stochastic Quantization ◽

Lattice Systems ◽

Quantum Lattice ◽

Quantum Lattice Systems

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Equilibrium States of Long Range Interacting Quantum Lattice Systems

Large-Scale Molecular Systems - NATO ASI Series ◽

10.1007/978-1-4684-5940-1_22 ◽

1991 ◽

pp. 351-356

Author(s):

Thomas Gerisch

Keyword(s):

Long Range ◽

Equilibrium States ◽

Lattice Systems ◽

Quantum Lattice ◽

Quantum Lattice Systems

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On the classical part of the mean field dynamics for quantum lattice systems in grand canonical representations

Journal of Mathematical Physics ◽

10.1063/1.526488 ◽

1984 ◽

Vol 25 (9) ◽

pp. 2593-2601 ◽

Cited By ~ 17

Author(s):

Alfred Rieckers

Keyword(s):

Mean Field ◽

Lattice Systems ◽

Quantum Lattice ◽

Canonical Representations ◽

Classical Part ◽

Quantum Lattice Systems ◽

The Mean ◽

Grand Canonical

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Exact Relaxation in a Class of Nonequilibrium Quantum Lattice Systems

Physical Review Letters ◽

10.1103/physrevlett.100.030602 ◽

2008 ◽

Vol 100 (3) ◽

Cited By ~ 322

Author(s):

M. Cramer ◽

C. M. Dawson ◽

J. Eisert ◽

T. J. Osborne

Keyword(s):

Lattice Systems ◽

Quantum Lattice ◽

Quantum Lattice Systems

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A new framework presents quasi-locality bounds for quantum lattice systems

Scilight ◽

10.1063/1.5113604 ◽

2019 ◽

Vol 2019 (25) ◽

pp. 250006

Author(s):

Mara Johnson-Groh

Keyword(s):

Lattice Systems ◽

Quantum Lattice ◽

Quantum Lattice Systems ◽

New Framework

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Equilibrium statistical mechanics of quantum lattice systems

Contemporary Mathematics - Prospects in Mathematical Physics ◽

10.1090/conm/437/08424 ◽

2007 ◽

pp. 45-69

Author(s):

Huzihiro Araki

Keyword(s):

Statistical Mechanics ◽

Lattice Systems ◽

Quantum Lattice ◽

Equilibrium Statistical Mechanics ◽

Quantum Lattice Systems

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One class of models of quantum lattice systems and their gibbs states

Ukrainian Mathematical Journal ◽

10.1007/bf01057190 ◽

1989 ◽

Vol 40 (6) ◽

pp. 666-670

Author(s):

S. A. Globa

Keyword(s):

Gibbs States ◽

Lattice Systems ◽

Quantum Lattice ◽

Quantum Lattice Systems

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Role of symmetry in the interplay of T = 0 quantum-phase transitions with unconventional T > 0 transport properties in integrable quantum lattice systems

EPL (Europhysics Letters) ◽

10.1209/0295-5075/78/17005 ◽

2007 ◽

Vol 78 (1) ◽

pp. 17005 ◽

Cited By ~ 3

Author(s):

J. M. P Carmelo ◽

S.-J Gu ◽

N. M. R Peres

Keyword(s):

Phase Transitions ◽

Transport Properties ◽

Quantum Phase Transitions ◽

Quantum Phase ◽

Lattice Systems ◽

Quantum Lattice ◽

Integrable Quantum ◽

Quantum Lattice Systems

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