Trapping in quantum chains

J. C. Eilbeck; F. Palmero

doi:10.1016/j.physleta.2004.08.060

Trapping in quantum chains

J. C. Eilbeck, F. Palmero

Research output: Contribution to journal › Article › peer-review

17 Citations (Scopus)

Abstract

A quantum breather on a translationally invariant one-dimensional anharmonic lattice is an extended Bloch state with two or more particles in a strongly correlated state. In this Letter we study a periodic lattice containing bosons described by the quantum discrete nonlinear Schrödinger equation (QDNLS), a quantum version of the discrete nonlinear Schrödinger equation, also known as the boson Hubbard model. We discuss several effects that break the lattice symmetry and lead to spatial localization of the breather. © 2004 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	201-208
Number of pages	8
Journal	Physics Letters A
Volume	331
Issue number	3-4
DOIs	https://doi.org/10.1016/j.physleta.2004.08.060
Publication status	Published - 18 Oct 2004

Keywords

Anharmonic quantum lattices
Quantum breathers
Quantum lattice solitons

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10.1016/j.physleta.2004.08.060

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abstract = "A quantum breather on a translationally invariant one-dimensional anharmonic lattice is an extended Bloch state with two or more particles in a strongly correlated state. In this Letter we study a periodic lattice containing bosons described by the quantum discrete nonlinear Schr{\"o}dinger equation (QDNLS), a quantum version of the discrete nonlinear Schr{\"o}dinger equation, also known as the boson Hubbard model. We discuss several effects that break the lattice symmetry and lead to spatial localization of the breather. {\textcopyright} 2004 Elsevier B.V. All rights reserved.",

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AB - A quantum breather on a translationally invariant one-dimensional anharmonic lattice is an extended Bloch state with two or more particles in a strongly correlated state. In this Letter we study a periodic lattice containing bosons described by the quantum discrete nonlinear Schrödinger equation (QDNLS), a quantum version of the discrete nonlinear Schrödinger equation, also known as the boson Hubbard model. We discuss several effects that break the lattice symmetry and lead to spatial localization of the breather. © 2004 Elsevier B.V. All rights reserved.

KW - Anharmonic quantum lattices

KW - Quantum breathers

KW - Quantum lattice solitons

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DO - 10.1016/j.physleta.2004.08.060

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EP - 208

JO - Physics Letters A

JF - Physics Letters A

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ER -

Trapping in quantum chains

Abstract

Keywords

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