Quantum Hall States and Boson Triplet Condensate for Rotating Spin-1 Bosons

Reijnders, J. W.; Lankvelt, F.J.M. van; Schoutens, Kareljan; Read, N.

doi:10.1103/physrevlett.89.120401

Cited by 60 publications

(92 citation statements)

References 23 publications

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“…When it becomes of the order of the particle number N, one expects that the ground state of the gas will no longer be well described by a mean-field approximation. Instead it becomes a strongly correlated state, with a structure very similar to those appearing in fractional quantum Hall effect [13,14,15,16,17]. In practice these type of states are expected to be observable only for small particle numbers.…”

Section: Discussionmentioning

confidence: 99%

“…4 obtained by Aftalion et al [64], where an example of vortex distribution is given for the particular case Λ = 3000. This distortion of the vortex lattice is essential to ensure the proper decay of the atomic density given in (16). Indeed an LLL wave function with a uniform vortex lattice always leads to a Gaussian average distributionn(x, y) [61], instead of the predicted and observed inverted parabola (16).…”

Section: Structure Of the Vortex Patternmentioning

confidence: 99%

“…Up to now this regime has been investigated only theoretically [13,14,15,16,17] and will not be addressed here.…”

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confidence: 99%

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Bose-Einstein condensates in fast rotation

et al. 2005

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In this short review we present our recent results concerning the rotation of atomic Bose-Einstein condensates confined in quadratic or quartic potentials, and give an overview of the field. We first describe the procedure used to set an atomic gas in rotation and briefly discuss the physics of condensates containing a single vortex line. We then address the regime of fast rotation in harmonic traps, where the rotation frequency is close to the trapping frequency. In this limit the Landau Level formalism is well suited to describe the system. The problem of the condensation temperature of a fast rotating gas is discussed, as well as the equilibrium shape of the cloud and the structure of the vortex lattice. Finally we review results obtained with a quadratic + quartic potential, which allows to study a regime where the rotation frequency is equal to or larger than the harmonic trapping frequency.

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Section: Discussionmentioning

confidence: 99%

Section: Structure Of the Vortex Patternmentioning

confidence: 99%

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Bose-Einstein condensates in fast rotation

et al. 2005

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“…(6) and for k = 2 the Pfaffian state Eq. (15). The filling factor is given by ν = k/2 and on the sphere they require the special flux 2S = (2/k)N − 2.…”

Section: B the Principal Sequencementioning

confidence: 99%

“…The critical filling for this transition has been evaluated from exact diagonalization : the ordering is identified by the appearance in the spectrum of low-lying states with quantum numbers appropriate to the breaking of translational invariance in the torus geometry [11]. A wealth of new quantum Hall states is also predicted for bosons with spin [15,16]. Some of them are generalizations of the clustered Read-Rezayi states.…”

Section: Introductionmentioning

confidence: 99%

Quantum Hall fractions for spinless bosons

Regnault

Jolicœur

2004

Phys. Rev. B

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We study the Quantum Hall phases that appear in the fast rotation limit for Bose-Einstein condensates of spinless bosonic atoms. We use exact diagonalization in a spherical geometry to obtain low-lying states of a small number of bosons as a function of the angular momentum. This allows to understand or guess the physics at a given filling fraction ν, ratio of the number of bosons to the number of vortices. This is also the filling factor of the lowest Landau level. In addition to the well-known Bose Laughlin state at ν = 1/2 we give evidence for the Jain principal sequence of incompressible states at ν = p/(p ± 1) for a few values of p. There is a collective mode in these states whose phenomenology is in agreement with standard arguments coming e.g. from the composite fermion picture. At filling factor one, the potential Fermi sea of composite fermions is replaced by a paired state, the Moore-Read state. This is most clearly seen from the half-flux nature of elementary excitations. We find that the hierarchy picture does not extend up to the point of transition towards a vortex lattice. While we cannot conclude, we investigate the clustered Read-Rezayi states and show evidence for incompressible states at the expected ratio of flux vs number of Bose particles.

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Quantum Phase Transitions in Cold Atoms and Low Temperature Solids

Hazzard¹

2011

Springer Theses

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This thesis describes how to create and probe novel phases of matter and exotic (non-quasiparticle) behavior in cold atomic gases. It focuses on situations whose physics is relevant to condensed matter systems, and where open questions about these latter systems can be addressed. It also attempts to better understand several experimental anomalies in condensed matter systems.The thesis is divided into five parts. The first section or chapter of each part gives an introduction to the motivation and background for the physics of that part; the last section or chapter gives an outlook for future studies. Parts 1-4 (Chapters 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, and 15) introduce and show different facets of how to learn about novel physics relevant to condensed matter using cold atomic systems. Part 5 ( Chapters 16, 17, 18, and 19) constrains explanations of several ill-understood phenomena occurring in low-temperature quantum solids and condensed matter systems and attempts to construct mechanisms for their behavior.Part 1 (Chapters 1 and 2) generally motivates and introduces condensed matter, cold atoms, and many-body physics. Part 2 (Chapters 3, 4, 5, 6, and 7) introduces optical lattice physics and describes ways of spectroscopically probing many-body physics, especially dynamics, near quantum phase transitions in these systems. Part 3 (Chapters 8, 9, 10, 11, and 12) discusses the effects of rotation and how this can create exotic states, as well as alternative methods of creating exotic states. This leads us to study optical lattices where particles possess non-trivial correlations between particles even within a site in Chapters 10 and 11. Part 4 (Chapters 13, 14, and 15) introduces another route to studying exotic physics in cold atoms: examining finite temperature behavior near second order quantum phase transitions. In the "quantum critical regime" occurring near these transitions, non-quasiparticle behavior generically manifests. This behavior has been hidden in previous analyses of data, but Chapter 14 introduces a set of tools required to extract universal quantum critical behavior from standard observables in cold atoms experiments. Chapter 15 discusses near-term opportunities to use these tools to impact fundamental, open questions in condensed matter physics.Part 5 (Chapters 16, 17, 18, and 19) introduces several anomalous or interesting experimental results from low-temperature and solid state physics, constrains possible explanations, and attempts to construct mechanisms for their behavior.Chapter 17 shows that collisional properties between quasi-two-dimensional spinpolarized hydrogen atoms are dramatically modified by the presence of a helium film, on which they are invariably adsorbed in present experiments. Chapter 18 constrains theories regarding recent observations on atomic hydrogen defects in molecular hydrogen quantum solids. Finally, Chapter 19 proposes a mechanism for supersolidity that could account for the experimental observations at that time.Since then, it probably has been...

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Quantum Hall States and Boson Triplet Condensate for Rotating Spin-1 Bosons

Cited by 60 publications

References 23 publications

Bose-Einstein condensates in fast rotation

Bose-Einstein condensates in fast rotation

Quantum Hall fractions for spinless bosons

Quantum Phase Transitions in Cold Atoms and Low Temperature Solids

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