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Coherence of nonlinear bloch dynamics of Bose-Einstein condensates in deep optical lattices

Chinese Physics B 2024年第4期33卷 297-303页

作者：张爱霞张薇王杰胡潇文米来来薛具奎 College of Physics and Electronics Engineering Northwest Normal UniversityLanzhou 730070China

Atomic interaction leads to dephasing and damping of bloch oscillations(BOs)in optical lattices,which limits observation and applications of *** to obtain persistent BOs is particularly ***,the nonlinear bloch dynamics of the Bose-Einstein condensate with two-body and three-body interactions in deep optical lattices is *** damping rate induced by interactions is *** damping induced by two-body interaction plays a dominant role,while the damping induced by three-body interaction is ***,when the two-body and three-body interactions satisfy a threshold,long-lived coherent BOs are ***,the bloch dynamics with periodical modulation of linear force is *** frequencies of linear force corresponding to resonance and pseudoresonance are obtained,and rich dynamical phenomena,i.e.,stable and strong BOs,drifting and dispersion of wave packet,are *** controllable bloch dynamics is provided with the periodic modulation of the linear force.

关键词： Bose-Einstein condensate atomic interaction bloch oscillations

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Collapses-revivals phenomena induced by weak magnetic flux in diamond chain

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Chinese Physics B 2020年第1期29卷 148-155页

作者： Na-Na Chang Wen-Quan Jing Yu Zhang Ai-Xia Zhang Ju-Kui Xue Su-Peng Kou Department of Physics Beijing Normal UniversityBeijing 100875China College of Physics and Electronics Engineering Northwest Normal UniversityLanzhou 730070China

We investigate the quantum dynamical behaviors of bosons in a diamond chain with weak magnetic flux(WMF),including Landau–Zener tunnelling,bloch oscillations,localization phenomenon,and collapses-revivals *** observed that collapses-revivals phenomena can occur in diamond chain with WMF and cannot exist in the strong magnetic flux case as the previous study(Chang N N and Xue J K,2018,***.B 27105203).Induced by WMF,the energy band for the system varies from gapless to gapped *** position of the extrema of probability amplitude for ground state can also be altered by WMF within a single diamond *** a consequence,the transitions between different dynamical behaviors of bosons in diamond chain can be manipulated by WMF,depending on its initial configurations.

关键词： collapses-revivals phenomena bloch oscillations Landau–Zener tunneling localization phenomenon flat band

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Necessity of orthogonal basis vectors for the two-anyon problem in a one-dimensional lattice

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Communications in Theoretical Physics 2024年第12期76卷 62-74页

作者： Cuicui Zheng Jiahui Xie Ming Zhang Yajiang Chen Yunbo Zhang Zhejiang Key Laboratory of Quantum State Control and Optical Field Manipulation Department of Physics Zhejiang Sci-Tech University

Few-body physics for anyons has been intensively studied within the anyon-Hubbard model,including the quantum walk and bloch oscillations of two-anyon states. Recently, theoretical and experimental simulations of two-anyon states in a one-dimensional lattice have been carried out by expanding the wavefunction in terms of non-orthogonal basis vectors, resulting in nonphysical degrees of freedom. In the present work, we deduce finite difference equations for the two-anyon state in a one-dimensional lattice by solving the Schr?dinger equation with orthogonal and complete basis vectors. Such an orthogonal scheme gives all the orthogonal physical eigenstates, while the conventional(non-orthogonal) method produces many nonphysical redundant eigensolutions whose components violate the anyonic commutation *** dynamical property of the two-anyon states in a sufficiently large lattice is investigated and compared in both the orthogonal and conventional schemes. For initial states with two anyons at the same site or two(next-)neighboring sites, we observe the same dynamical behavior in both schemes, including the revival probability, probability density function and two-body correlation. For other initial states, the conventional scheme produces erroneous states that no longer obey the anyonic relations. The period of bloch oscillations in the pseudo-fermionic limit has been found to be twice that in the bosonic limit, while these oscillations disappear at other statistical parameters. Our findings are vital for quantum simulations of few-body anyonic physics in lattice models.

关键词： anyon-Hubbard model bloch oscillations quantum simulation quantum walk two-anyon states

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