Bose-Einstein Condensation in Dilute Gases

By C. Pethick, H. Smith. 2001

1,069 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/4016a983f322f77acff64bddb5318dfe47825ab8

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In Atomic and Molecular Physics, and Optics

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3. Masahito Ueda
4. C. Chin
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In Statistical and Nonlinear Physics

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Citations in the corpus

• Dispersive and classical shock waves in Bose-Einstein condensates and gas dynamics (2006, methodology): “The steady state solution is approximated well by the Thomas-Fermi wavefunction [8], a balance between the harmonic trapping potential and nonlinearity.”
• Finite-temperature models of Bose–Einstein condensation (2008, methodology): “In performing this minimization, one should impose the constraint of a fixed total number of atoms N ; this can be included by the technique of Lagrange multipliers: in other words, instead of minimizing E, one should minimize (or find saddle points of) the quantity (E−μN), where the Lagrange multip”
• Topological bands for ultracold atoms (2018, positive): “The effect of Berry curvature on the collective modes can be readily determined by adapting the standard hydrodynamics approach (Pethick and Smith, 2002) to include the anomalous velocity from the Berry curvature.”
• Mathematical Models and Numerical Methods for Bose-Einstein Condensation (2012, background): “For a cigar-shaped condensate [31,148,150] ωy ωx, ωz ωx, ⇐⇒ γy 1, γz 1, (1.”
• Atom-molecule coherence in Bose gases (2003, background): “For example, the magnitude of the scattering length can be determined by thermalization-rate measurements [4].”
• Modeling spontaneous breaking of time-translation symmetry (2014, background): “The parameter λ stands for the amplitude of the driving, ω for its frequency and g 0 = 2 ω ⊥ a ( m/ ~ g ) 1 / 3 is the particle interaction strength [19] where a is the atomic scattering length and ω ⊥ is the frequency of the harmonic potential along the transverse directions.”
• Berry curvature, orbital moment, and effective quantum theory of electrons in electromagnetic fields (2008, methodology): “This projection method has been used, for example, in deriving the Fano–Feschbach resonance [56], the ‘poor man’s method’ of renormalization [57], and the one-band effective Hamiltonians of quantum Hall systems [58, 59].”
• Pre-thermal phases of matter protected by time-translation symmetry (2016, background): “41, 42, and 88, where it was pointed out that a superfluid at non-zero chemical potential is a time crystal as a result of the well-known time-dependence of the order parameter [89].”
• Feshbach resonances in ultracold gases (2008, background): “…on the theory of degenerate quantum gases of bosons and fermions see (Dalfovo et al., 1999) and (Giorgini et al., 2008), respectively, and the textbooks by (Stringari and Pitaevskii, 2003) and (Pethick and Smith, 2008). the underlying two-body physics and on models to describe Feshbach resonances.”
• Dark solitons in atomic Bose–Einstein condensates: from theory to experiments (2010, methodology): “As concerns the rate of the three-body collision process, it is given by (dn/dt) = −Ln3 [41], where L is the loss rate (which is of order of 10−27–10−30 cm6s−1 for various species of alkali atoms [97]).”
• THEORY OF NONLINEAR MATTER WAVES IN OPTICAL LATTICES (2004, neutral): “multidimensional lattice potential is separable, say when VL(r) = P 3 j=1 Vj cos(κjrj), the tensor M −1 α,βγ is diagonal, and the analog of model (14) reads27 i∂tψ= − 1 2 X j M−1 α,jj∂ 2 j ψ+2σ|ψ|2ψ. (20) Now the dynamics is more rich since BFs corresponding to different spatial dimensions contribute”
• VORTICES IN MULTICOMPONENT BOSE–EINSTEIN CONDENSATES (2005, background): “v. For a vortex with n= 1, the critical frequency is obtained by imposing that the change in the energy ΩL z due to the creation of the vortex be equal to E v as Ω c = E v L z = κ 2πR2 ln R r c . (8) For Ω > Ω c the free energy of the system with one vortex is lower than that without a vortex. ”
• Computing stationary solutions of the two-dimensional Gross-Pitaevskii equation with deflated continuation (2016, neutral): “INTRODUCTION Over the past two decades, the pristine setting of atomic Bose-Einstein condensates (BECs) has enabled the exploration of numerous physical concepts [1, 3].”