Quantum statistics of radiation in thermostat

Bogolubov, N. P.; Damaskinsky, E. V.; Shumovsky, A.S.; Yarunin, V. S.

doi:10.1007/bf01598977

Cited by 10 publications

(12 citation statements)

References 4 publications

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“…Eq. (26) is a Holstein-Primakoff [16] or Bogoliubov [17] transformation. When such a transformation exits, such as for the harmonic oscillator and for some other cases [23]- [25], there is no problem defining displacement-operator squeezed states.…”

Section: Squeezed Statesmentioning

confidence: 99%

Holstein-Primakoff/Bogoliubov Transformations and the Multiboson System

Nieto¹,

Truax²

1997

Fortschr. Phys.

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As an aid to understanding the {\it displacement operator} definition of squeezed states for arbitrary systems, we investigate the properties of systems where there is a Holstein-Primakoff or Bogoliubov transformation. In these cases the {\it ladder-operator or minimum-uncertainty} definitions of squeezed states are equivalent to an extent displacement-operator definition. We exemplify this in a setting where there are operators satisfying $[A, A^{\dagger}] = 1$, but the $A$'s are not necessarily the Fock space $a$'s; the multiboson system. It has been previously observed that the ground state of a system often can be shown to to be a coherent state. We demonstrate why this must be so. We close with a discussion of an alternative, effective definition of displacement-operator squeezed states.Comment: Two sections added and new title. LaTeX, 18 pages. Accepted by Forschritte der Physi

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Section: Squeezed Statesmentioning

confidence: 99%

Holstein-Primakoff/Bogoliubov Transformations and the Multiboson System

Nieto¹,

Truax²

1997

Fortschr. Phys.

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“…We consider an interaction between the particles and show that a lower energy state is obtained by taking into account fluctuations of the number of particles participating in the collective mode described by ϕ. For this purpose, we use the model considered by Bogoliubov [10]; we follow the derivation by Bogoliubov and reformulate it using the number changing operator and particle number conserving version of Bogoliubov operators. The Hamiltonian considered by Bogoliubov is given by…”

Section: Bogoliubov Operators Using the Number Changing Operators E ±Iθmentioning

confidence: 99%

“…This is the one adopted in the Gross-Pitaevskii theory [7,8]. This has to be supplemented by the condition for the absence of low energy excitations that will destroy the superfluidity; such a condition is given by Landau [9], and the excitation spectrum that satisfies it is provided by Bogoliubov [10], where the excitation spectrum was calculated using the particle number nonfixed formalism. Later, the same excitation spectrum was re-derived using the particle number fixed formalism by Leggett [6].…”

Section: Introductionmentioning

confidence: 99%

Explanation of Superfluidity Using the Berry Connection for Many-Body Wave Functions

Koizumi

2020

J Supercond Nov Magn

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We show that two phenomena of superfluidity, superfluidity of weakly interacting bosons and superconductivity of the BCS model, are unified using the collective mode arising from the Berry connection for many-body wave functions. The superfluidity is attributed to the presence of this mode, which is stabilized by the interaction between particles that causes fluctuations of the number of particles participating in it. It is suggested that the existence of this collective mode and its stabilization is more fundamental to the occurrence of superconductivity than the electron-pair formation.

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“…where each spin S i located at site i is a spin-5/2 with six discrete spin values, i.e., ±5/2, ±3/2 and ±1/2 and each spin σ j located at site j is a spin-7/2 that can take on eight discrete values ±7/2, ±5/2, ±3/2 and ±1/2. The most direct way of deriving the mean-field equations is to use the variational principle for the Gibbs free energy [32,33],…”

Section: The Model and The Mean-field Solutionmentioning

confidence: 99%

Phase diagrams and critical behaviours of the mixed spin-5/2 and spin-7/2 Ising system

Karimou¹,

Yessoufou²,

Ngantso³

et al. 2019

Condens. Matter Phys.

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We used mean-field theory based on the Bogoliubov inequality for the Gibbs free energy to examine the magnetic properties of a mixed spin-5/2 and spin-7/2 Blume-Capel ferrimagnetic system. The thermal behaviours of the system magnetization are classified according to the extended Néel nomenclature. The system exhibits compensation phenomena where a complete cancellation of sublattice magnetizations is observed below the critical temperature. Temperature-dependent phase diagrams are constructed for the case of unequal sublattice crystal field interactions. Under appropriate conditions, our calculations reveal first-order transitions in addition to second-order ones previously observed in Monte Carlo simulations. 1 Нацiональна вища школа енергетики та процесiв науки (ENSGEP), унiверситет м. Абомей, Республiка Бенiн 2 Iнститут математики i фiзичних наук (IMSP), Республiка Бенiн 3 Унiверситет м. Абомей-Калавi, фiзичний вiддiл, Республiка Бенiн 4 GSMC, факультет природничих наук i технологiй, унiверситет Марiана Нгуабi, Браззавiль, Конго i LMPHE, факультет природничих наук, унiверситет V Мохаммеда, Рабат, Морокко 5 Унiверситет Ерджiєс, фiзичний вiддiл, 38039, Кайсерi, ТуреччинаМи застосували середньопольову теорiю, що базується на нерiвностi Боголюбова для вiльної енергiї Гiббса, для вивчення магнiтних властивостей змiшаної спiн-5/2 i спiн-7/2 феромагнiтної системи Блюма-Капела. Температурна поведiнка намагнiченостi системи класифiкується вiдповiдно до розширеної номенклатури Нееля. Система демонструє компенсацiйне явище, де спостерiгається повне скасування намагнiченостi пiдграток нижче критичної температури. Для випадку неоднакових взаємодiй кристалiчного поля пiдграток побудовано температурно залежнi фазовi дiаграми. При певних умовах нашi обчислення виявили перехiд першого роду додатково до переходу другого роду, що був спостережений ранiше в симуляцiях Монте Карло.Ключовi слова: середньопольова теорiя, спiн-змiшана система, намагнiченiсть, компенсацiйна температура, фазовi переходи 33601-10

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Quantum statistics of radiation in thermostat

Cited by 10 publications

References 4 publications

Holstein-Primakoff/Bogoliubov Transformations and the Multiboson System

Holstein-Primakoff/Bogoliubov Transformations and the Multiboson System

Explanation of Superfluidity Using the Berry Connection for Many-Body Wave Functions

Phase diagrams and critical behaviours of the mixed spin-5/2 and spin-7/2 Ising system

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