Publisher's Note: Three-dimensional Bose gas near a Feshbach resonance [Phys. Rev. A<b>85</b>, 023620 (2012)]

Borzov, Dmitry; Mashayekhi, Mohammad Sadegh; Zhang, Shizhong; Song, Jun-Liang; Zhou, Fei

doi:10.1103/physreva.85.029907

Cited by 16 publications

(49 citation statements)

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“…In the strong interaction limit, systems are highly nonlinear. In the extreme case of unitarity, where a → ∞, the interatomic distance, n −1/3 , remains the only physically relevant length scale, and the unitary Bose gas [29][30][31][32][33][34][35][36][37] is expected to display universal properties akin to those of a Fermi gas at unitarity [38][39][40]. The prospect of a well-defined unitary limit was brightened by experiments on dilute thermal Bose gases [41,42].…”

Section: Introductionmentioning

confidence: 99%

“…It was unclear which dominates until recently when a JILA experiment on 85 Rb by Makotyn et al [2] firmly established that the three-body loss rate is much slower than the equilibration rate. This pleasant surprise opens the door to the possibility of exploring the rich physics underlying strongly interacting Bose gases [29][30][31][32][33][34][35][36][37] and has motivated, together with experimental works such as [43], a flurry of theoretical studies concerning quenched nonequilibrium dynamics [1,[44][45][46][47][48][49].…”

Section: Introductionmentioning

confidence: 99%

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Nonequilibrium states of a quenched Bose gas

Kain

Ling

2014

Phys. Rev. A

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Yin and Radzihovsky [1] recently developed a self-consistent extension of a Bogoliubov theory, in which the condensate number density nc is treated as a mean field that changes with time, in order to analyze a JILA experiment by Makotyn et al.[2] on a 85 Rb Bose gas following a deep quench to a large scattering length. We apply this theory to construct a closed set of equations that highlight the role ofṅc, which is to induce an effective interaction between quasiparticles. We show analytically that such a system supports a steady state characterized by a constant condensate density and a steady but periodically changing momentum distribution, whose time average is described exactly by the generalized Gibbs ensemble. We discuss how theṅc-induced effective interaction, which cannot be ignored on the grounds of the adiabatic approximation for modes near the gapless Goldstone mode, can significantly affect condensate populations and Tan's contact for a Bose gas that has undergone a deep quench.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Nonequilibrium states of a quenched Bose gas

Kain

Ling

2014

Phys. Rev. A

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“…It had been generally believed that the short lifetime can be solely attributed to the few-body losses, which tend to increase rapidly when a resonance is approached. On the other hand, recent theoretical works suggest a more dramatic onset of many-body instability beyond a critical scattering length at zero temperature [31,32]. This quantum critical point is mainly dictated by the scale dependence of interactions or the running of the coupling constant.…”

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confidence: 99%

“…In this Letter, we present an investigation of this topic and address the four questions raised above. Although there have been several previous theoretical studies on nearresonance Bose gases, they were exclusively focused on the zero temperature case [28][29][30][31][32][33][34]. In contrast, the finite but low temperature case, which is more closely related to experiments, demands further investigation.…”

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confidence: 99%

“…Besides, the presence of the ultraviolet parameter Λ in L 3 reflects the nonuniversality of Bose gases near resonance, which is related to the Efimov physics [45]. This effect can be incorporated in the effective-field-theory approach quite straightforwardly at zero temperature by including the three-body interaction energy with an ultraviolet cutoff [31]. By varying the ultraviolet cutoff from 10 −2 n 1/3 to 10 −3 n 1/3 , our calculation shows an oscillation of the position of the critical point, indicating nonuniversality, but the relative magnitude of the oscillation is less than 2%.…”

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confidence: 99%

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Stability and anomalous compressibility of Bose gases near resonance: The scale-dependent interactions and thermal effects

Jiang

Zhou

2015

Phys. Rev. A

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The stability of Bose gases near resonance has been a puzzling problem in recent years. In this Letter, we demonstrate that in addition to generating thermal pressure, thermal atoms enhance the repulsiveness of the scale-dependent interactions between condensed atoms due to renormalization effect and further stabilize the Bose gases. Consequently, we find that, as a precursor of instability, the compressibility develops an anomalous structure as a function of scattering length and is drastically reduced compared with the mean-field value. Furthermore, the density profile of a Bose gas in a harmonic trap is found to develop a flat top near the center. This is due to the anomalous behavior of compressibility and can be a potential smoking gun for probing such an effect. Recently, interest in interacting quantum gases has been revived due to the application of Feshbach resonance [1][2][3][4][5]. Feshbach resonance provides the tunability of the scattering length a, which uniquely characterizes the low-energy inter-particle interaction, from zero to infinity and also from negative to positive. It offers an easy experimental access to resonant quantum gases. Since the conventional perturbation theories are no longer valid for these strongly interacting systems, we are confronted with the theoretical challenge of unravelling the puzzle of large-scattering-length physics. Among the various applications of Feshbach resonance, what has attracted particular interest is the atomic Bose gas at large positive scattering lengths, known as the resonant Bose gas on the upper branch of a Feshbach resonance [6][7][8][9][10][11][12][13][14][15][16][17][18].For a dilute Bose gas where the scattering length is small and positive, the dominant contribution to its chemical potential is described by the Hartree-Fock mean-field value, µ HF = 4πan, with n the number density of the particles. The leading order correction to the mean-field result is proportional to a dimensionless parameter √ na 3 , and the dilute limit is hence defined as na 3 ≪ 1. Near resonance where na 3 ∼ 1 or ≫ 1, the dilute-gas theory [19][20][21][22][23][24][25][26][27] is not applicable and several nonperturbative approaches have been taken to understand resonant many-body physics. They all predict the fermionization of bosons near resonance, which denotes that the chemical potential of the Bose gas reaches nearly the Fermi energy of a Fermi gas with the same density [28][29][30]. In other words, the chemical potential of a Bose gas is predicted to increase linearly with a in the meanfield regime when na 3 ≪ 1 and saturate at an energy scale defined by n as resonance is approached. These theory predictions so far are consistent with experimental studies on chemical potentials [8].One of the major challenges of creating and probing unitary Bose gases experimentally comes from the short lifetime of the gases. Overcoming this difficulty has been one of the main focuses of a few recent experimental efforts [11,14,18]. Especially, a very interesting attempt was made a ...

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Unitarity and Discrete Scale Invariance

Kolck

2017

Few-Body Syst

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International audienceWhile the complexity of some many-body systems may stem from a profusion of distinct scales, as we approach two-body unitarity (through experimental control or as a theoretical limit) rich structures exist even though there is no more than one essential scale. I comment, from the point of view of effective field theory, on some current problems in the transition from few to many bodies in bosonic and multi-state fermion systems, where order emerges from the discrete scale invariance associated with a single, contact three-body force

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Publisher's Note: Three-dimensional Bose gas near a Feshbach resonance [Phys. Rev. A85, 023620 (2012)]

Cited by 16 publications

References 0 publications

Nonequilibrium states of a quenched Bose gas

Nonequilibrium states of a quenched Bose gas

Stability and anomalous compressibility of Bose gases near resonance: The scale-dependent interactions and thermal effects

Unitarity and Discrete Scale Invariance

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