Quantum Monte Carlo and related approaches

BM Austin, DY Zubarev, WA Lester Jr - Chemical reviews, 2012 - ACS Publications
As the name implies, Monte Carlo (MC) methods employ random numbers to solve
problems. The range of problems that may be treated by MC is substantial; these include …

The Fulde–Ferrell–Larkin–Ovchinnikov state for ultracold fermions in lattice and harmonic potentials: a review

JJ Kinnunen, JE Baarsma… - Reports on Progress …, 2018 - iopscience.iop.org
We review the concepts and the present state of theoretical studies of spin-imbalanced
superfluidity, in particular the elusive Fulde–Ferrell–Larkin–Ovchinnikov (FFLO) state, in the …

Spin-imbalance in a one-dimensional Fermi gas

Y Liao, ASC Rittner, T Paprotta, W Li, GB Partridge… - Nature, 2010 - nature.com
Superconductivity and magnetism generally do not coexist. Changing the relative number of
up and down spin electrons disrupts the basic mechanism of superconductivity, where …

Ultra-cold polarized Fermi gases

F Chevy, C Mora - Reports on Progress in Physics, 2010 - iopscience.iop.org
Recent experiments with ultra-cold atoms have demonstrated the possibility of realizing
fermionic superfluids with imbalanced spin populations experimentally. We discuss how …

Imbalanced feshbach-resonant fermi gases

L Radzihovsky, DE Sheehy - Reports on Progress in Physics, 2010 - iopscience.iop.org
We present an overview of recent developments in species-imbalanced ('polarized')
Feshbach-resonant Fermi gases. We summarize the current status of thermodynamics of …

Physics of higher orbital bands in optical lattices: a review

X Li, WV Liu - Reports on Progress in Physics, 2016 - iopscience.iop.org
The orbital degree of freedom plays a fundamental role in understanding the unconventional
properties in solid state materials. Experimental progress in quantum atomic gases has …

Harmonically trapped fermions in one dimension: A finite-temperature lattice Monte Carlo study

F Attanasio, M Bauer, R Kapust, JM Pawlowski - Physical Review A, 2024 - APS
We study a one-dimensional two-component Fermi gas in a harmonic trapping potential
using finite-temperature lattice quantum Monte Carlo methods. We are able to compute …

Theory of quasi-one-dimensional imbalanced Fermi gases

E Zhao, WV Liu - Physical Review A—Atomic, Molecular, and Optical …, 2008 - APS
We present a theory for a lattice array of weakly coupled one-dimensional ultracold attractive
Fermi gases (1D tubes) with spin imbalance, where strong intratube quantum fluctuations …

Long-Time Behavior of the Momentum Distribution During the Sudden Expansion<? format?> of a Spin-Imbalanced Fermi Gas in One Dimension

CJ Bolech, F Heidrich-Meisner, S Langer… - Physical review …, 2012 - APS
We study the sudden expansion of spin-imbalanced ultracold lattice fermions with attractive
interactions in one dimension after turning off the longitudinal confining potential. We show …

Universal scaling of density and momentum distributions in Lieb-Liniger gases

W Xu, M Rigol - Physical Review A, 2015 - APS
We present an exact numerical study of the scaling of density and momentum distribution
functions of harmonically trapped one-dimensional bosons with repulsive contact …