#### Ultracold atoms in optical lattices lewenstein sewing

Spin-Orbit SO coupling, which links a particle's spin to its motion, has a crucial role in the electronic properties of many condensed matter systems, and it is at the basis of phenomena such as the spin-Hall effect and topological insulators. Cappellini, L. We propose a one-dimensional model realizing the AIII symmetry class which can be realized in current experiments with ultracold atomic gases. Essential Quantum Mechanics Gary Bowman. Lopes and R. Using numerical diagonalization of interacting Harper-Hofstadter Hamiltonian we were able to observe localisation of fractional charge excitations in a square lattice using two different techniques. Dalmonte, and L. Condensed matter theory of dipolar quantum gases. Topological properties and many-body phases of synthetic Hofstadter strips TirritoEmanuele. Physical Relativity Harvey R.

: Ultracold Atoms in Optical Lattices: Simulating quantum many-body systems (): Maciej Lewenstein, Anna Sanpera, Veronica. Editorial Reviews. Review. "There is much of value to be found in this book. It will be Ultracold Atoms in Optical Lattices: Simulating quantum many-body systems - Kindle edition by Maciej Lewenstein, Anna Sanpera, Sewing, Quilting.

Ultracold Atoms in Optical Lattices.

## KITP Program Beyond Standard Optical Lattices

Simulating quantum many-body systems. Maciej Lewenstein, Anna Sanpera, and Veronica Ahufinger.

The main feature of topological phases is the presence of robust boundary states, which appear for example in the form of chiral edge states in Chern insulators and open Fermi arcs on the surfaces of Weyl semimetals. In order to describe these systems, we use Bose-Hubbard model in quantum rotor approximation.

Journal of Physics A: Mathematical and Theoretical Knap, M. A 95, ] for a two level system with time-dependent parameters which show the breakdown of the adiabaticity condition even for a slow time modulation. B Volume 92, [3] A.

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However, few of the unanswered questions remain: can FQHE states be realised in minuscule lattices, containing only several sites in diameter, and what additional effects would open boundaries produce? Here we show that by dressing three atomic internal states of a Bose-Einstein condensate BEC with two pairs of lasers in a double Raman configuration, such three atomic spin states of the BEC become coupled and a triple-well in the 2D lowest band of the single atom dispersion relation is obtained. Our work might open possibilities for both challenges. Labuhn, H. |

The same applies to the micromotion operators which exhibit a slow temporal dependence in addition to the rapid oscillations.

## Manybody interferometry of a Rydbergdressed spin lattice Nature Physics

Here we examine the combined effects of Rashba spin-orbit coupling and interaction in this system, with particular focus on the unique pairing, charge, and spin properties of the ground state, which is computed using the numerically exact auxiliary-field quantum Monte Carlo technique. In particular, the possibility to implement chiral, topologically protected edge states analogous to those found in the context of quantum Hall physics has been demonstrated both for fermionic and bosonic atoms [2,3].

Particles trapped in an optical lattice are neutral so the Lorentz force does not affect them. Recent theoretical and experimental studies have shown that it is possible to simulate artificial magnetic fields with ultracold atoms in optical lattices [1]. This counterintuitive effect is explained by a suppression of long-wavelength excitations resulting from the competition between both baths.

Video: Ultracold atoms in optical lattices lewenstein sewing Waseem Bakr - “Quantum gas microscopy of ultracold fermions in optical lattices”

We analyze the adiabatic charge pumping by tuning the strength of the local flux.

envision to combine the tailoring of the synthetic axion field with the controlled preparation and release of. Tailoring the Fermi velocity in 2D Dirac Materials. Optical lattices filled with ultra-cold atomic gases can be thought of as a counterpart of solid state . [4] G.

### Topological Matter in Artificial Gauge Fields

Pelegrí, J. Polo, A. Turpin, M. Lewenstein, J. Mompart, and V. Ahufinger, Phys.

### Ultracold Atoms in Optical Lattices Simulating quantum manybody systems Oxford Scholarship

Rev. 12/09, a.m., Maciek Lewenstein UC Berkeley, Optomechanics and Spin Dynamics of Cold Atoms in a Cavity[Slides][Podcast][Aud][Cam] with Ultracold Alkaline-Earth Atoms in Optical Lattices[Slides][Podcast][Aud][Cam].

LMU & KITP, Tailoring Minimum Instances of Topological Matter with Optical Superlattices.

Three-dimensional roton excitations and supersolid formation in Rydberg-excited Bose—Einstein condensates. Weber, T. After a brief course in quantum information theory, the implementations of quantum computation with ultracold gases are discussed, as well as our current understanding of condensed matter from a quantum information perspective.

We propose a one-dimensional model realizing the AIII symmetry class which can be realized in current experiments with ultracold atomic gases. Mechanical strain can lead to a synthetic gauge field that controls the dynamics of electrons in graphene sheets as well as light in photonic crystals.

Already now, quantum computers of special purpose, i. Collective many-body interaction in Rydberg dressed atoms.

Ultracold atoms in optical lattices lewenstein sewing |
Our proposal is to embed different Dirac materials in a uniform electric field, something readily achievable in experiments.
Different topologically properties have been found static system. Observation of the Higgs mode in a strongly interacting fermionic superfluid Link, Martin. Lahaye, T. Sonic Landau levels and synthetic gauge fields in mechanical metamaterials Abbaszadeh, Hamed. In this context, cold fermions in optical lattices provide a highly tunable platform to investigate driven many-body systems and additionally offer the prospect of quantitative comparisons to theoretical predictions. Real and imaginary part of conductivity of strongly interacting bosons in optical lattices Grygiel, Barbara. |

Li et al. The book ends with the general discussion of various detection methods that are unique for ultracold atoms.

We support our analytic results with matrix product sates MPS simulations [3]. Topological order in finite-temperature and driven dissipative systems Wawer, Lukas.

Here, we present a general method to calculate the quasistationary state of a driven-dissipative system coupled to a transmission line and more generally, to a reservoir with arbitrary coherent driving strength and modulation frequency of system parameters.

Secondly, we apply our method to a driven Lambda-system exhibiting electromagnetically induced transparency EIT and observe how the time modulation modifies the latter phenomenon. She is also interested in the connection between quantum mechanics and biology.