# Mixtures of fermionic atoms in an optical lattice

Source: [Mixtures of fermionic atoms in an optical lattice](<https://www.sota2.com/research/paper/68fa27822c2a3760193c2f52>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T11:59:55.756Z

Authors: K. Ziegler

Published: 2006-11-01T09:53:06.000Z

## Abstract

A mixture of light and heavy spin-polarized fermionic atoms in an optical lattice is considered. Tunneling of the heavy atoms is neglected such that they are only subject to thermal fluctuations. This results in a complex interplay between light and heavy atoms caused by quantum tunneling of the light atoms. The distribution of the heavy atoms is studied. It can be described by an Ising-like distribution with a first-order transition from homogeneous to staggered order. The latter is caused by an effective nonlocal interaction due to quantum tunneling of the light atoms. A second-order transition is also possible between an ordered and a disordered phase of the heavy atoms.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0611010>)

[PDF](<https://arxiv.org/pdf/cond-mat/0611010.pdf>)
