Non-perturbative methodologies for low-dimensional strongly-correlated systems: From non-abelian bosonization to truncated spectrum methods

AJA James, RM Konik, P Lecheminant… - Reports on Progress …, 2018 - iopscience.iop.org
We review two important non-perturbative approaches for extracting the physics of low-
dimensional strongly correlated quantum systems. Firstly, we start by providing a …

Spontaneous symmetry breaking and Nambu–Goldstone bosons in quantum many-body systems

T Brauner - Symmetry, 2010 - mdpi.com
Spontaneous symmetry breaking is a general principle that constitutes the underlying
concept of a vast number of physical phenomena ranging from ferromagnetism and …

[BUCH][B] Ultracold Atoms in Optical Lattices: Simulating quantum many-body systems

M Lewenstein, A Sanpera - 2012 - books.google.com
Quantum computers, though not yet available on the market, will revolutionize the future of
information processing. Quantum computers for special purposes like quantum simulators …

Ultracold Fermi gases with emergent SU (N) symmetry

MA Cazalilla, AM Rey - Reports on Progress in Physics, 2014 - iopscience.iop.org
We review recent experimental and theoretical progress on ultracold alkaline-earth Fermi
gases with emergent SU (N) symmetry. Emphasis is placed on describing the ground …

Collisional stability of a three-component degenerate Fermi gas

TB Ottenstein, T Lompe, M Kohnen, AN Wenz… - Physical review …, 2008 - APS
We report on the creation of a degenerate Fermi gas consisting of a balanced mixture of
atoms in three different hyperfine states of Li 6. This new system consists of three …

Few-body physics with ultracold atomic and molecular systems in traps

D Blume - Reports on Progress in Physics, 2012 - iopscience.iop.org
Few-body physics has played a prominent role in atomic, molecular and nuclear physics
since the early days of quantum mechanics. It is now possible—thanks to tremendous …

Three-body recombination in a three-state Fermi gas with widely tunable interactions

JH Huckans, JR Williams, EL Hazlett, RW Stites… - Physical review …, 2009 - APS
We investigate the stability of a three spin state mixture of ultracold fermionic Li 6 atoms over
a range of magnetic fields encompassing three Feshbach resonances. For most field values …

Color superfluidity and “baryon” formation in ultracold fermions

A Rapp, G Zaránd, C Honerkamp, W Hofstetter - Physical review letters, 2007 - APS
We study fermionic atoms of three different internal quantum states (colors) in an optical
lattice, which are interacting through attractive on site interactions, U< 0. Using a variational …

Simple fermionic model of deconfined phases and phase transitions

FF Assaad, T Grover - Physical Review X, 2016 - APS
Using quantum Monte Carlo simulations, we study a series of models of fermions coupled to
quantum Ising spins on a square lattice with N flavors of fermions per site for N= 1, 2, and 3 …

Valence bond solids for spin chains: Exact models, spinon confinement, and the Haldane gap

M Greiter, S Rachel - Physical Review B—Condensed Matter and Materials …, 2007 - APS
To begin with, we introduce several exact models for SU (3) spin chains: First is a
translationally invariant parent Hamiltonian involving four-site interactions for the trimer …