Abelian gauge potentials on cubic lattices

Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review

Standard

Abelian gauge potentials on cubic lattices. / Burrello, M.; Lepori, L.; Paganelli, S.; Trombettoni, A.

Advances in Quantum Mechanics: Contemporary Trends and Open. Vol. 18 Springer, 2017. p. 47-70 (Springer INdAM Series, Vol. 18).

Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review

Harvard

Burrello, M, Lepori, L, Paganelli, S & Trombettoni, A 2017, Abelian gauge potentials on cubic lattices. in Advances in Quantum Mechanics: Contemporary Trends and Open. vol. 18, Springer, Springer INdAM Series, vol. 18, pp. 47-70. https://doi.org/10.1007/978-3-319-58904-6_4

APA

Burrello, M., Lepori, L., Paganelli, S., & Trombettoni, A. (2017). Abelian gauge potentials on cubic lattices. In Advances in Quantum Mechanics: Contemporary Trends and Open (Vol. 18, pp. 47-70). Springer. Springer INdAM Series Vol. 18 https://doi.org/10.1007/978-3-319-58904-6_4

Vancouver

Burrello M, Lepori L, Paganelli S, Trombettoni A. Abelian gauge potentials on cubic lattices. In Advances in Quantum Mechanics: Contemporary Trends and Open. Vol. 18. Springer. 2017. p. 47-70. (Springer INdAM Series, Vol. 18). https://doi.org/10.1007/978-3-319-58904-6_4

Author

Burrello, M. ; Lepori, L. ; Paganelli, S. ; Trombettoni, A. / Abelian gauge potentials on cubic lattices. Advances in Quantum Mechanics: Contemporary Trends and Open. Vol. 18 Springer, 2017. pp. 47-70 (Springer INdAM Series, Vol. 18).

Bibtex

@inbook{66edb5a2f2794ae683a14fab8fa4a497,
title = "Abelian gauge potentials on cubic lattices",
abstract = "The study of the properties of quantum particles in a periodic potential subjected to a magnetic field is an active area of research both in physics and mathematics, and it has been and is yet deeply investigated. In this chapter we discuss how to implement and describe tunable Abelian magnetic fields in a system of ultracold atoms in optical lattices. After reviewing two of the main experimental schemes for the physical realization of synthetic gauge potentials in ultracold setups, we study cubic lattice tight-bindingmodels with commensurate flux.We finally discuss applications of gauge potentials in one-dimensional rings.",
keywords = "Abelian gauge potentials, Lattice models, Quantum entanglement, Quantum transfer, Ultracold atoms",
author = "M. Burrello and L. Lepori and S. Paganelli and A. Trombettoni",
note = "[Qdev]",
year = "2017",
month = aug,
day = "3",
doi = "10.1007/978-3-319-58904-6_4",
language = "English",
isbn = "10.1007/978-3-319-58904-6_4",
volume = "18",
series = "Springer INdAM Series",
publisher = "Springer",
pages = "47--70",
booktitle = "Advances in Quantum Mechanics",
address = "Switzerland",

}

RIS

TY - CHAP

T1 - Abelian gauge potentials on cubic lattices

AU - Burrello, M.

AU - Lepori, L.

AU - Paganelli, S.

AU - Trombettoni, A.

N1 - [Qdev]

PY - 2017/8/3

Y1 - 2017/8/3

N2 - The study of the properties of quantum particles in a periodic potential subjected to a magnetic field is an active area of research both in physics and mathematics, and it has been and is yet deeply investigated. In this chapter we discuss how to implement and describe tunable Abelian magnetic fields in a system of ultracold atoms in optical lattices. After reviewing two of the main experimental schemes for the physical realization of synthetic gauge potentials in ultracold setups, we study cubic lattice tight-bindingmodels with commensurate flux.We finally discuss applications of gauge potentials in one-dimensional rings.

AB - The study of the properties of quantum particles in a periodic potential subjected to a magnetic field is an active area of research both in physics and mathematics, and it has been and is yet deeply investigated. In this chapter we discuss how to implement and describe tunable Abelian magnetic fields in a system of ultracold atoms in optical lattices. After reviewing two of the main experimental schemes for the physical realization of synthetic gauge potentials in ultracold setups, we study cubic lattice tight-bindingmodels with commensurate flux.We finally discuss applications of gauge potentials in one-dimensional rings.

KW - Abelian gauge potentials

KW - Lattice models

KW - Quantum entanglement

KW - Quantum transfer

KW - Ultracold atoms

UR - http://www.scopus.com/inward/record.url?scp=85028344817&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-58904-6_4

DO - 10.1007/978-3-319-58904-6_4

M3 - Book chapter

AN - SCOPUS:85028344817

SN - 10.1007/978-3-319-58904-6_4

VL - 18

T3 - Springer INdAM Series

SP - 47

EP - 70

BT - Advances in Quantum Mechanics

PB - Springer

ER -

ID: 186413285