As the Earth rotates, the Coriolis force causes various oceanic and atmospheric waves to be trapped along the equator, including Kelvin, Yanai, Rossby, and Poincaré modes. It has been demonstrated that the mathematical origin of these waves is related to the nontrivial topology of the underlying hydrodynamic equations. Inspired by recent observations of Bose-Einstein condensation (BEC) in...
Atomic superfluids with internal spin degrees of freedom exhibit a rich phenomenology, which in turn heralds their utility in both fundamental research and applications with emerging quantum technologies such as metrology and atomtronics. Complementary to this, it is now feasible to make quantum gases in homogeneous potentials, allowing a stronger connection between existing theoretical...
Mixtures of different atomic gases with largely different masses are particularly suited to observe the Efimov effect, a series of three-body bound states obeying a universal scaling law [1, 2]. Indeed, these few-body states have been observed in a thermal mixture of $^6$Li and $^{133}$Cs [3]. Considering this mixture now at much colder temperatures and in the limit where Cs atoms act as...
Planar optical microcavities provide an excellent platform for studying the evolution of two-dimensional (2D) photonic wave packets in the presence of synthetic fields. Numerous experimental methods of probing the light that escapes the cavity, including its phase and polarization, enable direct comparison between the measurements and theoretical predictions. Recently, theoretical description...
A simplified mean-field description of fermionic systems relies on the Hartree-Fock-
Bogoliubov (HFB) approach, where the two-particle interaction is decomposed into
three distinct channels. A major issue with this method is that the separation between
the channels is somewhat arbitrary. Depending on the physical situation to be
described, different channels turn out to be important.
In...
We consider the far-from-equilibrium quantum transport dynamics in a 1D Josephson junction chain of multi-mode Bose-Einstein condensates. We develop a theoretical model to examine the experiment of R. Labouvie et al. [Phys. Rev. Lett. 115, 050601 (2015)], wherein the phenomenon of negative differential conductivity (NDC) was reported in the refilling dynamics of an initially depleted site...
Spinor Bose-Einstein condensates (sBECs) are quantum superfluids with a spin degree of freedom arising from interactions between atoms in different magnetic sublevels ${m_F=+1,0,-1}$. These novel ultracold atomic systems can exhibit ferromagnetic order and offer enhanced opportunities for exploring phenomena beyond those accessible in scalar BEC’s, such as new classes of topological defects....
Ultracold atom interferometry for inertial sensing in GPS/GNSS-denied environments presents a compact and more sensitive alternative to traditional methods such as light interferometry. While free-space interferometers have approached commercial scale implementation, trapping the atomic sample throughout the measurement may offer greater robustness to accelerations of the apparatus, although...
We identify and interpret the possible quantum thermal machine regimes with a transverse-field Ising model as the working substance. In general, understanding the emergence of such regimes in a many-body quantum system is challenging due to the dependence on the many energy levels in the system. By considering infinitesimal work strokes, we can understand the operation from equilibrium...
We construct a class of exact eigenstates of the Hamiltonian obtained by projecting the Hubbard interaction term onto the flat band subspace of a generic lattice model. These exact eigenstates are many-body states in which an arbitrary number of localized fermionic particles coexist with a sea of mobile Cooper pairs with zero momentum. By considering the dice lattice as an example, we provide...
Numerically simulating partial differential equations can be a challenging task. Often one requires huge simulation grids to be able to correctly resolve all physical length scales, leading to huge memory and CPU time requirements. Recently, there has been a focus in extending the applications of Tensor Networks (TNs) into simulations of challenging non-linear partial differential equations...
The point vortex model in hydrodynamics is an effective theory for describing the motion of quantum vortices in superfluids. Regarding the vortex core as a cylinder immersed in the fluid, it behaves like a cylinder with circulation in a perfect fluid. This model has been traditionally used to describe vortex dynamics in superfluid $^4$He, where the inertia of the effective cylinder or the...
In the BCS limit density profiles for unpolarized trapped fermionic clouds of atoms are
largely featureless. Therefore, it is a delicate task to analyze them in order to quantify
their respective interaction and temperature contributions. Temperature measure-
ments have so far been mostly considered in an indirect way, where one sweeps
isentropically from the BCS to the BEC limit. Instead...
In this work, we explore the low-energy states of vortex matter in a quasi-2D uniform BEC superfluid [1,2]. Mapping this system to 2D charges, we realize a vortex matter simulator of the one-component plasma (OCP) a fundamental minimal model in condensed matter. While the OCP is broadly considered a toy model, our system realizes its equilibrium states exactly. To benchmark our simulator,...
Work, heat and entropy are three of the most fundamental concepts in thermodynamics. Over the past 30 years, the discovery of fluctuation theorems in both classical and quantum systems have extended these concepts from equilibrium (slow) to non-equilibrium (fast) processes. To date, almost all this exploration has defined thermal equilibrium in terms of the canonical thermal distribution....
