Dynamic optical lattices: two-dimensional rotating and accordion lattices for ultracold atoms

Williams, R. A.; Pillet, Jean-Damien; Al-Assam, Sarah; Fletcher, Benjamin; Shotter, Martin; Foot, C. J.

doi:10.1364/oe.16.016977

Cited by 45 publications

(49 citation statements)

References 22 publications

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“…(44) vs Eq. (45) indicate that the RPA corrections have opposite effects on the MFT density and longitudinal spin susceptibilities, as shown in Fig. 5(b).…”

Section: Rpa Susceptibilitiesmentioning

confidence: 79%

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Optical Signatures of Antiferromagnetic Ordering of Fermionic Atoms in an Optical Lattice

Aguilar

Ruostekoski

2014

Phys. Rev. X

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We show how off-resonant light scattering can provide quantitative information on antiferromagnetic ordering of a two-species fermionic atomic gas in a tightly-confined two-dimensional optical lattice. We analyze the emerging magnetic ordering of atoms in the mean-field and in random phase approximations and show how the many-body static and dynamic correlations, evaluated in the standard Feynman-Dyson perturbation series, can be detected in the scattered light signal. The staggered magnetization reveals itself in the magnetic Bragg peaks of the individual spin components. These magnetic peaks, however, can be considerably suppressed in the absence of a true long-range antiferromagnetic order. The light scattered outside the diffraction orders can be collected by a lens with highly improved signal-to-shot-noise ratio when the diffraction maxima are blocked. The collective and single-particle excitations are identified in the spectrum of the scattered light. We find that the spin-conserving and spin-exchanging atomic transitions convey information on density, longitudinal spin, and transverse spin correlations. The different correlations and scattering processes exhibit characteristic angular distribution profiles for the scattered light, and e.g., the diagnostic signal of transverse spin correlations could be separated from the optical response by the scattering direction, frequency, or polarization. We also analyze the detection accuracy by estimating the number of required measurements, constrained by the heating rate that is determined by inelastic light-scattering events. The imaging technique could be extended to the two-species fermionic states in other regions of the phase diagram where the ground-state properties are still not fully understood.

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“…(44) vs Eq. (45) indicate that the RPA corrections have opposite effects on the MFT density and longitudinal spin susceptibilities, as shown in Fig. 5(b).…”

Section: Rpa Susceptibilitiesmentioning

confidence: 79%

“…In the case of accordion lattices, the lattice spacing is manipulated by optical components and can be considerably increased [44][45][46]. In typical experimental situations, the trapping potential is a superposition of the lattice and an external trap.…”

Section: Optical Lattices and The Hubbard Modelmentioning

confidence: 99%

Optical Signatures of Antiferromagnetic Ordering of Fermionic Atoms in an Optical Lattice

Aguilar

Ruostekoski

2014

Phys. Rev. X

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“…The potential depth of the optical lattice can be modulated by changing the power of the laser. The lattice spacing can be changed by changing the wavelength of the laser or by changing the relative angle between the two laser beams [27][28][29][30]. Let us consider ultracold atoms in an optical lattice with variable spacing and potential depth.…”

Section: Accordion Latticementioning

confidence: 99%

Fast frictionless expansion of an optical lattice

Yüce

2012

Physics Letters A

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“…Other techniques are also used (e.g., Ref. [159]). From the equivalence discussed above, another possibility is to impart angular momentum to the system by "stirring it."…”

Section: Quantum Hall Effectmentioning

confidence: 99%

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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Dynamic optical lattices: two-dimensional rotating and accordion lattices for ultracold atoms

Cited by 45 publications

References 22 publications

Optical Signatures of Antiferromagnetic Ordering of Fermionic Atoms in an Optical Lattice

Optical Signatures of Antiferromagnetic Ordering of Fermionic Atoms in an Optical Lattice

Fast frictionless expansion of an optical lattice

Quantum Phase Transitions in Cold Atoms and Low Temperature Solids

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