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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Val'kov V. V.
Заглавие : Excitation spectrum in an ensemble of Hubbard bosons
Место публикации : JETP Lett. - 2022. - Vol. 116, Is. 12. - P.896-901. - ISSN 00213640 (ISSN), DOI 10.1134/S0021364022602664. - ISSN 10906487 (eISSN)
Примечания : Cited References: 25
Аннотация: An approach that makes it possible to correctly derive equations describing the Bose–Einstein condensation and the spectrum of elementary excitations in the ensemble of Hubbard bosons in the strong correlation regime (U≫|tfm|) has been developed in the atomic representation using the Dyson method with the introduced indefinite metric. The kinematic Dyson interaction caused by the properties of the commutation relations of dynamic variables plays an important role in such a system. An effective Hamiltonian has been obtained using the operator form of perturbation theory at finite U values. It has been shown that the properties of the ensemble of Hubbard bosons have been determined by the kinematic interaction, correlated hopping, and the attraction between Hubbard bosons. Numerical calculations have demonstrated the effect of these interactions on the characteristics of the energy spectrum of excitations of the ensemble of Hubbard bosons and on the dependence of the density of condensate particles on the density of bosons in the system.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Kolovsky A. R., Muraev P. S., Flach S.
Заглавие : Conductance transition with interacting bosons in an Aharonov-Bohm cage
Место публикации : Phys. Rev. A. - 2023. - Vol. 108, Is. 1. - Ст.L010201. - ISSN 2469-9926 (ISSN), DOI 10.1103/PhysRevA.108.L010201. - ISSN 2469-9934 (eISSN)
Примечания : Cited References: 33. - We thank A. Andreanov for useful discussions. This work was supported by the Institute for Basic Science, Project Code (Project No. IBS-R024-D1). P.S.M. acknowledges financial support of the Ministry of Science and High Education of the Russian Federation through Grant No. FSRZ-2023-0006
Аннотация: We study the transport of interacting bosons through an Aharonov-Bohm cage—a building block of flat-band networks—with coherent pump and sink leads. In the absence of interactions the cage is insulating due to destructive interference. We find that the cage stays insulating up to a critical value of the pump strength in the presence of mean-field interactions, while the quantum regime induces particle pair transport and weak conductance below the critical pump strength. A swift crossover from the quantum into the classical regime upon further pump strength increase is observed. We solve the time-dependent master equations for the density matrix of the many-body problem in the classical, pure quantum, and pseudoclassical regimes. We start with an empty cage and switch on driving. We characterize the transient dynamics, and the complexity of the resulting steady states and attractors. Our results can be readily realized using experimental platforms involving interacting ultracold atoms, superconducting circuits, and photons on fine-tuned optical lattices.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Kolovsky A. R.
Заглавие : Bogoliubov depletion of the fragmented condensate in the bosonic flux ladder
Место публикации : Phys. Rev. A: American Physical Society, 2017. - Vol. 95, Is. 3. - Ст.033622. - ISSN 10502947 (ISSN), DOI 10.1103/PhysRevA.95.033622
Примечания : Cited References: 31. - The author acknowledges discussions with A. Eckardt, the hospitality of MPIPKS in Dresden, and financial support from Russian Foundation for Basic Research, Government of Krasnoyarsk Territory, and Krasnoyarsk Region Science and Technology Support Fund through Grant No. 16-42-240746.
Ключевые слова (''Своб.индексиров.''): bosons--crystal lattices--ladders--optical lattices--bogoliubov--dispersion relations--interacting bosons--ultracold atoms--ground state
Аннотация: We theoretically analyze the ground state of weakly interacting bosons in the flux ladder - the system that has been recently realized by means of ultracold atoms in the specially designed optical lattice [M. Atala, M. Aidelsburger, M. Lohse, J. T. Barreiro, B. Paredes, and I. Bloch, Nat. Phys. 10, 588 (2014)1745-247310.1038/nphys2998]. It is argued that, for the system parameters corresponding to two degenerate minima in the Bloch dispersion relation, the ground state is a fragmented condensate. We study the Bogoliubov depletion of this condensate and discuss the role of boundary conditions. © 2017 American Physical Society.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Muraev P. S., Maksimov D. N., Kolovsky A. R.
Заглавие : Ballistic transport of interacting Bose particles in a tight-binding chain
Место публикации : Phys. Rev. E. - 2022. - Vol. 106, Is. 6. - Ст.064203. - ISSN 24700045 (ISSN), DOI 10.1103/PhysRevE.106.064203. - ISSN 24700053 (eISSN)
Примечания : Cited References: 30. - This work has been supported by Russian Science Foundation through Grant No. N19-12-00167
Аннотация: It is known that the quantum transport of noninteracting Bose particles across a tight-binding chain is ballistic in the sense that the current does not depend on the chain length. We address the question whether the transport of strongly interacting bosons can be ballistic as well. We find such a regime and show that, classically, it corresponds to the synchronized motion of local nonlinear oscillators. It is also argued that, unlike the case of noninteracting bosons, the transporting state responsible for the ballistic transport of interacting bosons is metastable, i.e., the current decays in the course of time. An estimate for the decay time is obtained.
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