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

123 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

Access to Document

10.1088/0953-4075/41/16/161002

Cite this

@article{95afd270cdcd4534a18967e9f3653f33,

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.",

keywords = "OPTICAL LATTICES, ULTRACOLD ATOMS",

author = "{Valiente Cifuentes}, Manuel and D. Petrosyan",

year = "2008",

month = aug,

day = "28",

doi = "10.1088/0953-4075/41/16/161002",

language = "English",

volume = "41",

journal = "Journal of Physics B: Atomic, Molecular and Optical Physics",

issn = "0953-4075",

publisher = "IOP Publishing ",

number = "16",

}

TY - JOUR

T1 - Two-particle states in the Hubbard model

AU - Valiente Cifuentes, Manuel

AU - Petrosyan, D.

PY - 2008/8/28

Y1 - 2008/8/28

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

Access to Document

Fingerprint

Cite this