Geometric phases and quantum phase transitions in open systems

Описание

Тип публикации: статья из журнала

Год издания: 2008

Идентификатор DOI: 10.1103/PhysRevE.78.015202

Ключевые слова: Chlorine compounds, Electron tunneling, Ferromagnetism, Ising model, Magnetic fields, Magnetism, Open systems, Quantum electronics, Quantum optics, Sedimentation, Effective Hamiltonian, Eigenvalues, First orders, Geometric phase, Geometric phases, Ground-state, Hermitian, One-dimensional, Open quantum systems, Quantum phase transition, Quantum phase transitions, Transverse-magnetic fields, Phase transitions

Аннотация: The relationship is established between quantum phase transitions and complex geometric phases for open quantum systems governed by a non-Hermitian effective Hamiltonian with accidental crossing of the eigenvalues. In particular, the geometric phase associated with the ground state of the one-dimensional dissipative Ising model in Показать полностьюa transverse magnetic field is evaluated, and it is demonstrated that the related quantum phase transition is of the first order.

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Издание

Журнал: PHYSICAL REVIEW E

Выпуск журнала: Vol. 78, Is. 1, Part2

ISSN журнала: 24700045

Место издания: COLLEGE PK

Издатель: AMER PHYSICAL SOC

Авторы

  • Nesterov A.I. (Departamento de Fisica,CUCEI,Universidad de Guadalajara)
  • Ovchinnikov S.G. (Siberian Federal University)

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