Quantum states in ultracold fermionic gases in optical lattices:<br/>Supersolid and dynamic antiferromagnetic states

Objectif

In recent years the fields of condensed matter physics and ultracold atomic
gas physics have developed a fruitful interplay. The former has a long history
of describing quantum states of matter based on simplified models,
such as the Hubbard model, whilst the latter now manages to
simulate these models and generate exciting quantum states. The
twofold objective of the research project is to better
understand the stability of the supersolid quantum state and the
non-adiabatic dynamic generation of antiferromagnetic (AF) quantum
states. The supersolid state of matter, a peculiar state with
simultaneous crystalline order and superfluid properties, has
been proposed to be realizable in a gas of attractive fermions
confined to an optical lattice. The research project will
theoretically model such a state and analyze its stability. This will be
achieved by real space dynamical mean field calculations utilizing the
numerical renormalization group as an impurity solver.
The second part deals with a correlated fermionic system which
by an interaction quench is driven into a situation where a strong AF
instability is present. Using the Hubbard
model, we will develop and apply non-equilibrium
techniques to understand the resulting behavior.
A realization of this non-equilibrium situation is possible for
an ultracold gas of fermions in an optical lattice with commensurate
filling, which is tuned suddenly to the strongly
repulsive side of a Feshbach resonance. There, the AF instability
competes with processes of molecule formation, which
can also occur on this side of the Feshbach resonance. By taking into
account both processes we will investigate theoretically the
time-dependent response of the system and predict its
dominant behavior.
Current experiments are performed in regimes very close to the situations
described here. The expected experimental realizations within the next years
make it a timely and highly relevant research project.

Champ scientifique

Coordinateur

MAX-PLANCK-GESELLSCHAFT ZUR FORDERUNG DER WISSENSCHAFTEN EV

Contribution de l’UE

€ 217 477,60

Adresse

HOFGARTENSTRASSE 8
80539 Munchen
Allemagne

Région

Bayern Oberbayern München, Kreisfreie Stadt

Type d’activité

Research Organisations

Contact administratif

Regina Diermann (Ms.)

Liens

Contacter l’organisation Site web

Coût total

Aucune donnée

Objectif

Champ scientifique

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Régime de financement

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