Two-particle states in the Hubbard model

Manuel Valiente Cifuentes; D. Petrosyan

doi:10.1088/0953-4075/41/16/161002

Two-particle states in the Hubbard model

Manuel Valiente Cifuentes
, D. Petrosyan

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

136 Citations (Scopus)

Abstract

We consider a pair of bosonic particles in a one-dimensional tight-binding periodic potential described by the Hubbard model with an attractive or repulsive on-site interaction. We derive explicit analytic expressions for the two-particle states, which can be classified as (i) scattering states of asymptotically free particles and (ii) interaction-bound dimer states. Our results provide a very transparent framework to understand the properties of interacting pairs of particles in a lattice.

Original language	English
Article number	161002
Number of pages	4
Journal	Journal of Physics B: Atomic, Molecular and Optical Physics
Volume	41
Issue number	16
DOIs	https://doi.org/10.1088/0953-4075/41/16/161002
Publication status	Published - 28 Aug 2008

Keywords

OPTICAL LATTICES
ULTRACOLD ATOMS

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10.1088/0953-4075/41/16/161002

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title = "Two-particle states in the Hubbard model",

abstract = "We consider a pair of bosonic particles in a one-dimensional tight-binding periodic potential described by the Hubbard model with an attractive or repulsive on-site interaction. We derive explicit analytic expressions for the two-particle states, which can be classified as (i) scattering states of asymptotically free particles and (ii) interaction-bound dimer states. Our results provide a very transparent framework to understand the properties of interacting pairs of particles in a lattice.",

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AU - Valiente Cifuentes, Manuel

AU - Petrosyan, D.

PY - 2008/8/28

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N2 - We consider a pair of bosonic particles in a one-dimensional tight-binding periodic potential described by the Hubbard model with an attractive or repulsive on-site interaction. We derive explicit analytic expressions for the two-particle states, which can be classified as (i) scattering states of asymptotically free particles and (ii) interaction-bound dimer states. Our results provide a very transparent framework to understand the properties of interacting pairs of particles in a lattice.

AB - We consider a pair of bosonic particles in a one-dimensional tight-binding periodic potential described by the Hubbard model with an attractive or repulsive on-site interaction. We derive explicit analytic expressions for the two-particle states, which can be classified as (i) scattering states of asymptotically free particles and (ii) interaction-bound dimer states. Our results provide a very transparent framework to understand the properties of interacting pairs of particles in a lattice.

KW - OPTICAL LATTICES

KW - ULTRACOLD ATOMS

U2 - 10.1088/0953-4075/41/16/161002

DO - 10.1088/0953-4075/41/16/161002

M3 - Article

SN - 0953-4075

VL - 41

JO - Journal of Physics B: Atomic, Molecular and Optical Physics

JF - Journal of Physics B: Atomic, Molecular and Optical Physics

IS - 16

M1 - 161002

ER -

Two-particle states in the Hubbard model

Abstract

Keywords

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