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Multi-species Systems in Optical Lattices

Part of the Springer Theses Book Series

DOI: 10.1007/978-3-319-43464-3

ISBN: 978-3-319-43463-6

Publisher: Springer International Publishing - Springer Journals

Aug 13, 2016

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Chapter 1Preamble

Pinheiro, Fernanda

Pages: 1 –4

[After the experimental realization of the optical lattices, and the subsequent observation in 2002 (Greiner et al. Nature 415(6867):39–44, 2002 [1]) of the Mott-insulator to superfluid transition predicted 15 years earlier (Fisher et al. Phys Rev B 40(1):546, 1989 [2]), systems of cold atoms...
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Chapter 2Introduction to Optical Lattices and Excited Bands (and All That)

Pinheiro, Fernanda

Pages: 5 –31

[This chapter provides an introduction to the physics in excited bands of optical lattices. We will start by briefly discussing general features of the physics in optical lattices in Sect. 2.1. In Sect. 2.2 we review properties of single particles in periodic potentials and introduce the p and d...
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Chapter 3General Properties of the Bosonic System in the p and in the d Bands

Pinheiro, Fernanda

Pages: 33 –48

[Since the majority of topics covered in this thesis are focused on the properties of many-body systems with bosons, we use this chapter to discuss general features of the bosonic case in more details. General properties of the fermionic system will be discussed whenever required.]
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Chapter 4Confined p-Orbital Bosons

Pinheiro, Fernanda

Pages: 49 –66

[In the laboratory, experiments with optical lattices are most often performed in the presence of an additional external potential for confining the atoms.]
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Chapter 5Beyond the Mean-Field Approximation: Effective Pseudospin Hamiltonians via Exchange Interaction

Pinheiro, Fernanda

Pages: 67 –105

[In the previous chapters we investigated the weakly interacting regime of the many-body bosonic system in the p and d bands. The properties of the order parameters describing the superfluid phases in both cases were characterized with use of mean-field techniques, which among other features...
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Chapter 6Effects of Disorder in Multi-species Systems

Pinheiro, Fernanda

Pages: 107 –123

[In the previous Chapter we came across an example where experimental imperfections may give rise to disorder. Effects of disorder can affect qualitative properties of the physics, and serve as an interesting area of research on its own [1–3]. In the context of cold atoms, for example, it is...
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Chapter 7Conclusions

Pinheiro, Fernanda

Pages: 125 –126

[In this thesis we presented different aspects of the physics of multi-species systems in optical lattices. Although the focus was mainly on orbital physics, we also discussed the properties of a simple two-species system in the presence of disorder.]

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