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Three-dimensional simulation of jet formation in collapsing condensates 坍缩凝析油射流形成的三维模拟
Journal of Physics B Pub Date : 2003-07-15 DOI: 10.1088/0953-4075/37/2/003
W. Bao, Dieter Jaksch, P. Markowich
{"title":"Three-dimensional simulation of jet formation in collapsing condensates","authors":"W. Bao, Dieter Jaksch, P. Markowich","doi":"10.1088/0953-4075/37/2/003","DOIUrl":"https://doi.org/10.1088/0953-4075/37/2/003","url":null,"abstract":"We numerically study the behaviour of collapsing and exploding condensates using the parameters of the experiments by Donley et al (2001 Nature 412 295). Our studies are based on a full three-dimensional numerical solution of the Gross–Pitaevskii equation (GPE) including three-body loss. We determine the three-body loss rate from the number of remnant condensate atoms and collapse times, and obtain only one possible value which fits with the experimental results. We then study the formation of jet atoms by interrupting the collapse, and find very good agreement with the experiment. Furthermore, we investigate the sensitivity of the jets to the initial conditions. According to our analysis, the dynamics of the burst atoms is not described by the GPE with three-body loss incorporated.","PeriodicalId":16799,"journal":{"name":"Journal of Physics B","volume":"22 1","pages":"329-343"},"PeriodicalIF":0.0,"publicationDate":"2003-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74319489","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 52
The critical number of atoms in an attractive Bose–Einstein condensate on optical plus harmonic traps 在光学加谐波阱的吸引玻色-爱因斯坦凝聚中原子的临界数目
Journal of Physics B Pub Date : 2003-05-21 DOI: 10.1088/0953-4075/36/13/321
S. Adhikari
{"title":"The critical number of atoms in an attractive Bose–Einstein condensate on optical plus harmonic traps","authors":"S. Adhikari","doi":"10.1088/0953-4075/36/13/321","DOIUrl":"https://doi.org/10.1088/0953-4075/36/13/321","url":null,"abstract":"The stability of an attractive Bose–Einstein condensate on a joint one-dimensional optical lattice and an axially symmetrical harmonic trap is studied using the numerical solution of the time-dependent mean-field Gross–Pitaevskii equation and the critical number of atoms for a stable condensate is calculated. We also calculate this critical number of atoms in a double-well potential which is always greater than that in an axially symmetrical harmonic trap. The critical number of atoms in an optical trap can be made smaller or larger than the corresponding number in the absence of the optical trap by moving a node of the optical lattice potential in the axial direction of the harmonic trap. This variation of the critical number of atoms can be observed experimentally and compared with the present calculations.","PeriodicalId":16799,"journal":{"name":"Journal of Physics B","volume":"4 1","pages":"2943-2949"},"PeriodicalIF":0.0,"publicationDate":"2003-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80501229","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
Optimal representations of quantum states by Gaussians in phase space 相空间中高斯量子态的最优表示
Journal of Physics B Pub Date : 2003-04-08 DOI: 10.1088/0953-4075/37/8/007
A. Kenfack, J. Rost, A. M. Almeida
{"title":"Optimal representations of quantum states by Gaussians in phase space","authors":"A. Kenfack, J. Rost, A. M. Almeida","doi":"10.1088/0953-4075/37/8/007","DOIUrl":"https://doi.org/10.1088/0953-4075/37/8/007","url":null,"abstract":"A two-step optimization is proposed to represent an arbitrary quantum state to the desired accuracy with the smallest number of Gaussians in phase space. The Husimi distribution of the quantum state provides the information to determine the modulus of the weight for the Gaussians. Then, the phase information contained in the Wigner distribution is used to obtain the full complex weights by considering the relative phases for pairs of Gaussians, the chords. The method is exemplified with excited states n of the harmonic and the Morse oscillators. A semiclassical interpretation of the number of Gaussians needed as a function of the quantum number n is given.","PeriodicalId":16799,"journal":{"name":"Journal of Physics B","volume":"72 1","pages":"1645-1657"},"PeriodicalIF":0.0,"publicationDate":"2003-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78096810","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 8
The effect of atomic transfer on the decay of a Bose-Einstein condensate 原子转移对玻色-爱因斯坦凝聚体衰变的影响
Journal of Physics B Pub Date : 2003-03-21 DOI: 10.1088/0953-4075/36/8/102
P. Zin, A. Dragan, S. Charzyński, N. Herschbach, P. Tol, W. Hogervorst, W. Vassen
{"title":"The effect of atomic transfer on the decay of a Bose-Einstein condensate","authors":"P. Zin, A. Dragan, S. Charzyński, N. Herschbach, P. Tol, W. Hogervorst, W. Vassen","doi":"10.1088/0953-4075/36/8/102","DOIUrl":"https://doi.org/10.1088/0953-4075/36/8/102","url":null,"abstract":"We present a model describing the decay of a Bose-Einstein condensate, which assumes the system to remain in thermal equilibrium during the decay. We show that under this assumption transfer of atoms occurs from the condensate to the thermal cloud enhancing the condensate decay rate.","PeriodicalId":16799,"journal":{"name":"Journal of Physics B","volume":"10 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2003-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74396277","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
The hydrogen atom in an electric field: closed-orbit theory with bifurcating orbits 电场中的氢原子:具有分岔轨道的闭轨道理论
Journal of Physics B Pub Date : 2002-12-20 DOI: 10.1088/0953-4075/36/6/312
T. Bartsch, J. Main, G. Wunner
{"title":"The hydrogen atom in an electric field: closed-orbit theory with bifurcating orbits","authors":"T. Bartsch, J. Main, G. Wunner","doi":"10.1088/0953-4075/36/6/312","DOIUrl":"https://doi.org/10.1088/0953-4075/36/6/312","url":null,"abstract":"Closed-orbit theory provides a general approach to the semiclassical description of photo-absorption spectra of arbitrary atoms in external fields, the simplest of which is the hydrogen atom in an electric field. Yet, despite its apparent simplicity, a semiclassical quantization of this system by means of closed-orbit theory has not been achieved so far. It is the aim of this paper to close that gap. We first present a detailed analytic study of the closed classical orbits and their bifurcations. We then derive a simple form of the uniform semiclassical approximation for the bifurcations that is suitable for an inclusion into a closed-orbit summation. By means of a generalized version of the semiclassical quantization by harmonic inversion, we succeed in calculating high-quality semiclassical spectra for the hydrogen atom in an electric field.","PeriodicalId":16799,"journal":{"name":"Journal of Physics B","volume":"5 1","pages":"1231-1254"},"PeriodicalIF":0.0,"publicationDate":"2002-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80086499","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 24
Dynamical classical superfluid?insulator transition in a Bose?Einstein condensate on an optical lattice 动力学经典超流体?玻色中的绝缘子跃迁?爱因斯坦凝聚在光学晶格上
Journal of Physics B Pub Date : 2002-11-01 DOI: 10.1088/0953-4075/36/13/304
S. Adhikari
{"title":"Dynamical classical superfluid?insulator transition in a Bose?Einstein condensate on an optical lattice","authors":"S. Adhikari","doi":"10.1088/0953-4075/36/13/304","DOIUrl":"https://doi.org/10.1088/0953-4075/36/13/304","url":null,"abstract":"We predict a dynamical classical superfluid–insulator transition in a Bose–Einstein condensate (BEC) trapped in combined optical and axially symmetrical harmonic potentials initiated by the periodic modulation of the radial trapping potential. The transition is marked by a loss of phase coherence in the BEC and a subsequent destruction of the interference pattern upon free expansion. For a weak modulation of the radial potential the phase coherence is maintained. For a stronger modulation and a longer holding time in the modulated trap, the phase coherence is destroyed thus signalling a classical superfluid–insulator transition. The results are illustrated by a complete numerical solution of the axially symmetrical mean-field Gross–Pitaevskii equation for a repulsive BEC. Suggestions for future experimentation are made.","PeriodicalId":16799,"journal":{"name":"Journal of Physics B","volume":"93 1","pages":"2725-2731"},"PeriodicalIF":0.0,"publicationDate":"2002-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79805097","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
Bogoliubov approach to superfluidity of atoms in an optical lattice 光学晶格中原子超流动性的Bogoliubov方法
Journal of Physics B Pub Date : 2002-10-24 DOI: 10.1088/0953-4075/36/5/304
A. Rey, K. Burnett, R. Roth, M. Edwards, Carl J. Williams, Charles W.Clark
{"title":"Bogoliubov approach to superfluidity of atoms in an optical lattice","authors":"A. Rey, K. Burnett, R. Roth, M. Edwards, Carl J. Williams, Charles W.Clark","doi":"10.1088/0953-4075/36/5/304","DOIUrl":"https://doi.org/10.1088/0953-4075/36/5/304","url":null,"abstract":"We use the Bogoliubov theory of atoms in an optical lattice to study the approach to the Mott-insulator transition. We derive an explicit expression for the superfluid density based on the rigidity of the system under phase variations. This enables us to explore the connection between the quantum depletion of the condensate and the quasi-momentum distribution on the one hand and the superfluid fraction on the other. The approach to the insulator phase may be characterized through the filling of the band by quantum depletion, which should be directly observable via the matter–wave interference patterns. We complement these findings by self-consistent Hartree–Fock–Bogoliubov–Popov calculations for one-dimensional lattices, including the effects of a parabolic trapping potential.","PeriodicalId":16799,"journal":{"name":"Journal of Physics B","volume":"46 1","pages":"825-841"},"PeriodicalIF":0.0,"publicationDate":"2002-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74970490","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 63
Bose-Einstein condensation dynamics in three dimensions by the pseudospectral and finite-difference methods 用伪谱和有限差分方法研究三维玻色-爱因斯坦凝聚动力学
Journal of Physics B Pub Date : 2002-10-08 DOI: 10.1088/0953-4075/36/12/310
Paulsamy Muruganandam, S. Adhikari
{"title":"Bose-Einstein condensation dynamics in three dimensions by the pseudospectral and finite-difference methods","authors":"Paulsamy Muruganandam, S. Adhikari","doi":"10.1088/0953-4075/36/12/310","DOIUrl":"https://doi.org/10.1088/0953-4075/36/12/310","url":null,"abstract":"We suggest a pseudospectral method for solving the three-dimensional time-dependent Gross–Pitaevskii (GP) equation, and use it to study the resonance dynamics of a trapped Bose–Einstein condensate induced by a periodic variation in the atomic scattering length. When the frequency of oscillation of the scattering length is an even multiple of one of the trapping frequencies along the x, y or z direction, the corresponding size of the condensate executes resonant oscillation. Using the concept of the differentiation matrix, the partial-differential GP equation is reduced to a set of coupled ordinary differential equations, which is solved by a fourth-order adaptive step-size control Runge–Kutta method. The pseudospectral method is contrasted with the finite-difference method for the same problem, where the time evolution is performed by the Crank–Nicholson algorithm. The latter method is illustrated to be more suitable for a three-dimensional standing-wave optical-lattice trapping potential.","PeriodicalId":16799,"journal":{"name":"Journal of Physics B","volume":"463 1","pages":"2501-2513"},"PeriodicalIF":0.0,"publicationDate":"2002-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79138850","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 97
LETTER TO THE EDITOR: Interference effects in the ionization of H2 by fast charged projectiles 致编者信:快荷射体电离H2时的干扰效应
Journal of Physics B Pub Date : 2002-10-01 DOI: 10.1088/0953-4075/35/20/103
E. Nagy, L. Kocbach, K. Póra, J. Hansen
{"title":"LETTER TO THE EDITOR: Interference effects in the ionization of H2 by fast charged projectiles","authors":"E. Nagy, L. Kocbach, K. Póra, J. Hansen","doi":"10.1088/0953-4075/35/20/103","DOIUrl":"https://doi.org/10.1088/0953-4075/35/20/103","url":null,"abstract":"A theoretical investigation of the experimentally observed (Stolterfoht N et al 2001 Phys. Rev. Lett. 87 023201) interference effects in the double differential cross sections for ionization of the hydrogen molecule by fast ion impact is reported. The H2/2H cross section ratios as a function of the ejected electron velocity show an oscillating pattern, for which Stolterfoht et al propose a formula C + G sin(k D)/(k D), where k is the electron momentum and D the internuclear separation in H2. Our analysis in its simplest form leads instead to a formula C + G sin(k|| D)/(k|| D) where k|| is the component of k parallel to the projectile velocity. The presented theoretical model thus explains why at 90° the interference pattern will be strongly suppressed. In addition to the simplified analysis a numerical evaluation of a more accurate model is presented, confirming the latter qualitative prediction.","PeriodicalId":16799,"journal":{"name":"Journal of Physics B","volume":"17 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2002-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83199124","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 9
Stirring a Bose?Einstein condensate 搅拌玻色?爱因斯坦冷凝
Journal of Physics B Pub Date : 2002-05-23 DOI: 10.1088/0953-4075/35/19/308
Bogdan Damski, K. Sacha, J. Zakrzewski
{"title":"Stirring a Bose?Einstein condensate","authors":"Bogdan Damski, K. Sacha, J. Zakrzewski","doi":"10.1088/0953-4075/35/19/308","DOIUrl":"https://doi.org/10.1088/0953-4075/35/19/308","url":null,"abstract":"By shining a tightly focused laser light on a Bose?Einstein condensate (BEC) and moving the centre of the beam along a spiral path one may stir the BEC and create vortices. It is shown that one can induce rotation of the BEC in the direction opposite to the direction of stirring.","PeriodicalId":16799,"journal":{"name":"Journal of Physics B","volume":"81 1","pages":"4051-4057"},"PeriodicalIF":0.0,"publicationDate":"2002-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83914510","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
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