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Polarizing the medium: Fermion-mediated interactions between bosons 极化介质:费米子介导的玻色子之间的相互作用
Pub Date : 2020-07-01 DOI: 10.1103/PHYSREVA.103.L021301
Dong-Chen Zheng, Chun-Rong Ye, Lin Wen, R. Liao
We consider a homogeneous mixture of bosons and polarized fermions. We find that long-range and attractive fermion-mediated interactions between bosons have dramatic effects on the properties of the bosons. We construct the phase diagram spanned by boson-fermion mass ratio and boson-fermion scattering parameter. It consists of stable region of mixing and unstable region toward phase separation. In stable mixing phase, the collective long-wavelength excitations can either be well-behaved with infinite lifetime or be finite in lifetime suffered from the Landau damping. We examine the effects of the induced interaction on the properties of weakly interacting bosons. It turns out that the induced interaction not only enhances the repulsion between the bosons against collapse but also enhances the stability of the superfluid state by suppressing quantum depletion.
我们考虑玻色子和极化费米子的均匀混合物。我们发现玻色子之间的远距离和吸引费米子介导的相互作用对玻色子的性质有显著的影响。构造了由玻色子-费米子质量比和玻色子-费米子散射参数组成的相图。它由混合稳定区和相分离不稳定区组成。在稳定混合相中,集体长波激发既可以表现为无限寿命,也可以表现为受朗道阻尼影响的有限寿命。我们研究了诱导相互作用对弱相互作用玻色子性质的影响。结果表明,诱导的相互作用不仅增强了玻色子对坍缩的斥力,而且通过抑制量子耗尽提高了超流体态的稳定性。
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引用次数: 1
Experimental setup for the production of ultracold strongly correlated fermionic superfluids of 6Li 产生6Li超冷强相关费米子超流体的实验装置
Pub Date : 2020-07-01 DOI: 10.31349/RevMexFis.66.388
D. Hernandez-Rajkov, J. E. Padilla-Castillo, M. Mendoza-López, R. Col'in-Rodr'iguez, A. Gutiérrez-Valdés, S. A. Morales-Ram'irez, R. A. Guti'errez-Arenas, C. A. Gardea-Flores, R. Jáuregui-Renaud, J. A. Seman, F. J. Poveda-Cuevas, G. Roati
We present our experimental setup to produce ultracold strongly correlated fermionic superfluids made of a two-component spin-mixture of $^6$Li atoms. Employing standard cooling techniques, we achieve quantum degeneracy in a single-beam optical dipole trap. Our setup is capable of generating spin-balanced samples at temperatures as low as $T/T_F = 0.1$ containing up to $5 times 10^4$ atomic pairs. We can access different superfluid regimes by tuning the interparticle interactions close to a broad magnetic Feshbach resonance. In particular, we are able to explore the crossover from the molecular Bose-Einstein condensate (BEC) to the Bardeen-Cooper-Schrieffer (BCS) superfluid regimes.
我们提出了一种由$^6$Li原子的双组分自旋混合物组成的超冷强相关费米子超流体的实验装置。采用标准冷却技术,我们在单光束光学偶极子阱中实现了量子简并。我们的装置能够在低至$T/T_F = 0.1$的温度下产生自旋平衡样品,其中包含高达$5 乘以10^4$原子对。我们可以通过调整粒子间的相互作用,使其接近于一个宽磁费什巴赫共振,从而获得不同的超流体状态。特别是,我们能够探索从分子玻色-爱因斯坦凝聚(BEC)到巴丁-库珀-施里弗(BCS)超流体的交叉。
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引用次数: 1
Spin and density self-ordering in dynamic polarization gradients fields 动态极化梯度场中的自旋和密度自序
Pub Date : 2020-06-30 DOI: 10.1103/PHYSREVRESEARCH.3.013173
N. Masalaeva, W. Niedenzu, F. Mivehvar, H. Ritsch
We study the zero-temperature quantum phase diagram for a two-component Bose-Einstein condensate in an optical cavity. The two atomic spin states are Raman coupled by two transverse orthogonally-polarized, blue detuned plane-wave lasers inducing a repulsive cavity potential. For weak pump the lasers favor a state with homogeneous density and predefined uniform spin direction. When one pump laser is polarized parallel to the cavity mode polarization, the photons coherently scattered into the resonator induce a polarization gradient along the cavity axis, which mediates long-range density-density, spin-density, and spin-spin interactions. We show that the coupled atom-cavity system implements central aspects of the $t$-$J$-$V$-$W$ model with a rich phase diagram. At the mean-field limit we identify at least four qualitatively distinct density- and spin-ordered phases including ferro- and anti-ferromagnetic order along the cavity axis, which can be controlled via the pump strength and detunings. Nondestructive observation of amplitude and phase of the emitted fields bears strong signatures of the realized phase and allows for real-time observation of the underlying dynamics.
研究了光学腔中双组分玻色-爱因斯坦凝聚体的零温度量子相图。两个原子自旋态是拉曼耦合的两个横向正交极化,蓝色失谐平面波激光产生排斥腔势。对于弱泵浦,激光倾向于具有均匀密度和预定的均匀自旋方向的状态。当一个泵浦激光器的偏振方向与腔模偏振方向平行时,相干散射到谐振腔内的光子会沿腔轴产生偏振梯度,从而产生远程密度-密度、自旋-密度和自旋-自旋相互作用。我们证明了耦合原子-腔系统实现了具有丰富相图的$t$-$J$-$V$-$W$模型的核心方面。在平均场极限下,我们确定了至少四个定性不同的密度有序相和自旋有序相,包括沿腔轴的铁磁有序相和反铁磁有序相,这可以通过泵浦强度和失谐来控制。发射场的振幅和相位的无损观测具有实现相位的强特征,并允许实时观察潜在的动力学。
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引用次数: 6
A study on quantum gases: bosons in optical lattices and the one-dimensional interacting Bose gas 量子气体的研究:光学晶格中的玻色子和一维相互作用玻色气体
Pub Date : 2020-06-23 DOI: 10.11606/t.76.2020.tde-29062020-150004
F. T. Sant'Ana
Bosonic atoms confined in optical lattices are described by the Bose-Hubbard model and can exist in two different phases, Mott insulator or superfluid, depending on the strength of the system parameters. In the vicinity of the phase boundary, there are degeneracies that occur between every two adjacent Mott lobes. Because of this, nondegenerate perturbation theory fails to give meaningful results for the condensate density: it predicts a phase transition in a point of the phase diagram where no transition occurs. Motivated by this, we develop two different degenerate perturbative methods to solve the degeneracy-related problems. Moreover, we study the one-dimensional repulsively interacting Bose gas under harmonic confinement, with special attention to the asymptotic behavior of the momentum distribution, which is a universal $k^{-4}$ decay characterized by the Tan's contact. The latter constitutes a direct signature of the short-range correlations in such an interacting system and provides valuable insights about the role of the interparticle interactions. We investigate the system constituted of $N$ interacting particles in the strongly interacting limit. In such a regime, the strong interparticle interaction makes the bosons behave similarly to the ideal Fermi gas. Because of the difficulty in analytically solving the system for $N$ particles at finite interaction, the Tonks-Girardeau regime provides a favorable scenario to probe the contact. Therefore, we are able to provide an analytical formula for the Tan's contact. Furthermore, we analyze the scaling properties of the Tan's contact in terms of $N$ in the high-temperature regime as well as in the strongly interacting regime. Finally, we compare our analytical calculations of the Tan's contact to quantum Monte Carlo simulations and discuss some fundamental differences between the canonical and the grand-canonical ensembles.
玻色子原子被限制在光学晶格中,用玻色-哈伯德模型来描述,根据系统参数的强弱,玻色子原子可以存在于莫特绝缘体或超流体两种不同的相中。在相界附近,每两个相邻的莫特叶之间都存在简并。因此,非简并微扰理论不能给出有意义的凝聚密度结果:它预测了相图中没有发生相变的点的相变。基于此,我们提出了两种不同的简并微扰方法来解决与简并相关的问题。此外,我们研究了调和约束下的一维排斥相互作用玻色气体,特别注意动量分布的渐近行为,这是一个以Tan接触为特征的普适k^{-4}$衰减。后者构成了这种相互作用系统中短程相关的直接标志,并提供了关于粒子间相互作用作用的有价值的见解。研究了在强相互作用极限下由N个相互作用粒子组成的系统。在这种状态下,强粒子间相互作用使玻色子的行为类似于理想的费米气体。由于在有限相互作用下解析求解N粒子系统的困难,Tonks-Girardeau状态为探测接触提供了有利的条件。因此,我们能够为谭人的接触提供一个解析公式。此外,我们还分析了在高温和强相互作用条件下Tan's接触的标度特性。最后,我们将Tan接触的解析计算与量子蒙特卡罗模拟进行了比较,并讨论了正则系综与大正则系综之间的一些基本区别。
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引用次数: 0
Acoustic analog of Hawking radiation in quantized circular superflows of Bose-Einstein condensates 玻色-爱因斯坦凝聚体量子化圆超流中霍金辐射的声学模拟
Pub Date : 2020-06-23 DOI: 10.1103/physrevresearch.2.043065
I. Yatsuta, B. Malomed, A. Yakimenko
We propose emulation of Hawking radiation by means of acoustic excitations propagating on top of a persistent current in an atomic Bose-Einstein condensate loaded in an annular confining potential. The setting admits realization of sonic black and white event horizons. It is found that density-density correlations, representing the acoustic analogue of the Hawking radiation, are strongly affected by the perimeter of the ring-shaped configuration and number of discrete acoustic modes admitted by it. Remarkably, there is a minimum radius of the ring which admits the emulation of the Hawking radiation. We also discuss a possible similarity of properties of the matter-wave sonic black holes to the known puzzle of the stability of Planck-scale primordial black holes in quantum gravity.
我们提出了霍金辐射的模拟,通过声激励传播的持续电流在原子玻色-爱因斯坦凝聚在一个环形限制势加载。设置允许实现声波黑白事件视界。研究发现,密度-密度相关性,代表霍金辐射的声学模拟,受到环形结构的周长和它所允许的离散声学模式的数量的强烈影响。值得注意的是,存在一个允许模拟霍金辐射的最小环半径。我们还讨论了物质波声波黑洞的性质可能与量子引力中普朗克尺度原始黑洞稳定性的已知难题相似。
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引用次数: 3
Self-accelerating beam dynamics in the space fractional Schrödinger equation 空间分数阶Schrödinger方程中的自加速束流动力学
Pub Date : 2020-06-23 DOI: 10.1103/physrevresearch.2.033274
D. Colas
Self-accelerating beams are fascinating solutions of the Schrodinger equation. Thanks to their particular phase engineering, they can accelerate without the need of external potentials or applied forces. Finite-energy approximations of these beams have led to many applications, spanning from particle manipulation to robust in vivo imaging. The most studied and emblematic beam, the Airy beam, has been recently investigated in the context of the fractional Schrodinger equation. It was notably found that the packet acceleration would decrease with the reduction of the fractional order. Here, I study the case of a general nth-order self-accelerating caustic beam in the fractional Schrodinger equation. Using a Madelung decomposition combined with the wavelet transform, I derive the analytical expression of the beam's acceleration. I show that the non-accelerating limit is reached for infinite phase order or when the fractional order is reduced to 1. This work provides a quantitative description of self-accelerating caustic beams' properties.
自加速束是薛定谔方程的迷人解。由于其特殊的相位工程,它们可以在不需要外部电位或施加力的情况下加速。这些光束的有限能量近似已经导致了许多应用,从粒子操纵到健壮的体内成像。研究最多和最具代表性的光束,艾里光束,最近在分数阶薛定谔方程的背景下进行了研究。值得注意的是,数据包的加速度会随着分数阶的减小而减小。在这里,我研究了分数阶薛定谔方程中一般的n阶自加速焦散束的情况。利用马德隆分解与小波变换相结合的方法,导出了光束加速度的解析表达式。我证明了非加速极限是在无限相阶或分数阶降为1时达到的。本文对自加速焦散光束的性质进行了定量描述。
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引用次数: 4
Spin-orbit-coupled spin-1 Bose-Einstein-condensate flow past an obstacle in the presence of a Zeeman field 自旋-轨道耦合自旋-1玻色-爱因斯坦凝聚流在塞曼场的存在下通过障碍
Pub Date : 2020-06-21 DOI: 10.1103/physreva.102.053320
Qing-Li Zhu, L. Pan, Jin An
We study the dynamics of a Rashba spin-orbit coupled spin-1 ferromagnetic Bose-Einstein condensate under a linear Zeeman magnetic field(ZF) disturbed by a moving obstacle. The Bogoliubov excitation spectrums and corresponding critical excitations in different situations are analyzed. The structure of the coreless vortex or antivortex generated by the moving obstacle has been investigated. When the ZF is applied along x direction, the vortex cores for the three components of a(an) vortex(antivortex) could be arranged into a vertical line, and their order would be reversed as the spin-orbit coupling increases. When the ZF is parallel to z direction, a skyrmion-like vortex ground state could be induced even by a static obstacle. This topological structure is also found to be dynamically stable if the obstacle is moving at a relatively small velocity.
研究了受移动障碍物干扰的线性塞曼磁场(ZF)下Rashba自旋-轨道耦合自旋-1铁磁玻色-爱因斯坦凝聚体的动力学。分析了不同情况下的波戈留博夫激励谱和相应的临界激励。研究了运动障碍物产生的无芯涡和反涡的结构。当沿x方向施加ZF时,正涡(反涡)的三个分量的涡核可以排列成一条垂直线,随着自旋-轨道耦合的增加,它们的顺序会颠倒。当ZF平行于z方向时,即使有静态障碍物也能诱发类似天幕子的涡旋基态。当障碍物以相对较小的速度移动时,这种拓扑结构也是动态稳定的。
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引用次数: 3
Black-Hole evaporation and quantum-depletion in Bose–Einstein condensates 玻色-爱因斯坦凝聚体中的黑洞蒸发和量子耗竭
Pub Date : 2020-06-14 DOI: 10.1142/S0217732321500061
I. Arraut
We study the analogy between the Hawking radiation in Black-Holes and the Quantum depletion process of a Bose-Einstein condensate by using the Bogoliubov transformations method. We find that the relation between the Bogoliubov coefficients is similar in both cases (in the appropriate regimes). We then connect the condensate variables with those associated to the Black-Hole, demonstrating then that the zero temperature regime of the condensate is equivalent to the existence of an event horizon in gravity.
利用Bogoliubov变换方法研究了黑洞中霍金辐射与玻色-爱因斯坦凝聚体的量子耗竭过程的相似性。我们发现,在两种情况下(在适当的制度下),波戈留波夫系数之间的关系是相似的。然后,我们将凝结物变量与黑洞相关的变量联系起来,然后证明凝结物的零温度状态相当于重力视界的存在。
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引用次数: 1
Dispersion relations and self-localization of quasiparticles in coupled elongated Bose-Einstein condensates 耦合拉长玻色-爱因斯坦凝聚体中准粒子的色散关系和自定域
Pub Date : 2020-06-11 DOI: 10.1103/physreva.102.043316
M. Momme, O. O. Prikhodko, Yuriy Bidasyuk
We present a detailed study of the spectrum and dispersion of Bogoliubov quasiparticles in two coupled elongated Bose-Einstein condensates. We develop an analytically solvable model that approximates two infinite homogeneous condensates and compare its predictions to a numerical simulation of a realistic trapped system. While the comparisons show a reasonable agreement between the two models, they also manifest the existence of several anomalous Bogoliubov modes in the spectrum. These modes show degeneracy in both energy and momentum together with self-localization in the coordinate space.
我们详细研究了波格留波夫准粒子在两个耦合的拉长玻色-爱因斯坦凝聚体中的光谱和色散。我们开发了一个解析可解的模型,它近似于两个无限均质冷凝物,并将其预测与实际捕获系统的数值模拟进行了比较。虽然比较表明两种模式之间有合理的一致性,但它们也表明谱中存在几个异常波格留波夫模态。这些模在能量和动量上均表现出简并性,并在坐标空间上具有自定域性。
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引用次数: 2
Drag force of an exciton-polariton condensate under nonresonant pumping 非共振泵浦下激子-极化子凝聚体的阻力
Pub Date : 2020-05-25 DOI: 10.1103/physreva.103.013303
Pei-Song He, Zhaoxin Liang
Exciton-polariton condensate in semiconductor microcavities constitute a novel kind of non-equilibrium superfluid. In a recent experiment [P. Stepanov, {it et. al.,} Nat. Commun. {bf 10}, 1038 (2019)], the dispersion relation of collective excitations in a polariton condensate under the resonant pumping has been investigated with the emphasis on the role of reservoir of long-lived excitons in determining the superfluidity. Inspired by such an experimental advance, we study the superfluidity of a exciton-polaritonn condensate under non-resonant pumping by calculating the drag force exerted on a classical impurity moving in a polariton condensate. For a non-resonant pumped polariton condensate prepared in the gapped phase, due to the reservoir's modes, the drag force can be large when the velocity of the impurity is small. Besides, as the velocity increases, the drag force can decrease. For not very large velocity, the drag force is enhanced if the condensate is tuned to be more dissipative. When the condensate is close to the transition point between the gapped phase and the gapless one, the drag force is similar to that of the equilibrium superfluid. Our present work reveals the effects of the reservoir's modes on the superfluidity properties of a polariton condensate with the non-resonant pumping.
半导体微腔中的激子-极化子凝聚构成了一种新型的非平衡超流体。在最近的一项实验中[P.]斯特帕诺夫,{it等人},Nat. common。[bf 10}, 1038(2019)],研究了共振泵浦下极化子凝聚体中集体激励的色散关系,重点研究了长寿命激子库在决定超流动性中的作用。受这一实验进展的启发,我们通过计算在极化子凝聚体中运动的经典杂质所受的阻力,研究了非共振泵浦下激子-极化子凝聚体的超流动性。对于在间隙相中制备的非共振泵浦极化子凝聚体,由于储层的模式,当杂质的速度较小时,阻力会很大。此外,随着速度的增加,阻力可以减小。对于不是很大的速度,如果将凝结水调得更耗散,阻力就会增强。当凝析液靠近间隙相与无间隙相之间的过渡点时,阻力与平衡超流体相似。我们目前的工作揭示了储层模态对非共振抽运极化子凝聚体超流体性质的影响。
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引用次数: 2
期刊
arXiv: Quantum Gases
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