Braid group and topological phase transitions in nonequilibrium stochastic dynamics.
Phys Rev E Stat Nonlin Soft Matter Phys
; 87(5): 050101, 2013 May.
Article
em En
| MEDLINE
| ID: mdl-23767466
ABSTRACT
We show that distinct topological phases of the band structure of a non-Hermitian Hamiltonian can be classified with elements of the braid group. As the proof of principle, we consider the non-Hermitian evolution of the statistics of nonequilibrium stochastic currents. We show that topologically nontrivial phases have detectable properties, including the emergence of decaying oscillations of parity and state probabilities, and discontinuities in the steady state statistics of currents.
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Coleções:
01-internacional
Base de dados:
MEDLINE
Assunto principal:
Oscilometria
/
Processos Estocásticos
/
Modelos Estatísticos
/
Transição de Fase
/
Modelos Químicos
Tipo de estudo:
Risk_factors_studies
Idioma:
En
Revista:
Phys Rev E Stat Nonlin Soft Matter Phys
Assunto da revista:
BIOFISICA
/
FISIOLOGIA
Ano de publicação:
2013
Tipo de documento:
Article
País de afiliação:
Estados Unidos