# Quantum simulation using optical lattices

Lead Research Organisation:
University of Oxford

Department Name: Oxford Physics

### Abstract

Our aim is to engineer the properties of ultracold atoms, and molecules, in optical lattices and so use these precisely controlled many-body systems to model important strongly-correlated systems from Condensed Matter Physics (CMP). Optical-lattice experiments thus function as analogue quantum computers, and allow exploration of physical regimes inaccessible in CMP systems themselves. The ultimate vision is to develop a complete 'toolbox' of methods for the direct quantum simulation (DQS) of strongly-correlated systems. The intense current interest in this powerful interdisciplinary approach to fundamental quantum many-body problems has been stimulated, in part, by work carried out by members of this Collaboration. For example, Professor Bloch played a leading role in the first experimental observation of the superfluid to Mott Insulator transition in an optical lattice, a prime example of modelling CMP in such systems. This was predicted theoretically by Dr Jaksch (while working with Professor Zoller in Innsbruck). These ideas were recently extended in Florence to controlled disorder in optical lattices, and production of a Bose glass phase.This Collaboration will stimulate further work and collaborations between theory and experiment. The ground-breaking work on disorder will be continued by Dr Fort, using both bosons and fermions, and including time-dependent studies. Professor Foot's team (Oxford) will create a rotating optical lattice to simulate the application of a magnetic field to the analogous Condensed Matter system, and test predictions of Dr Jaksch on the high-field Fractional Quantum Hall effect. Professor Bloch's group in Mainz will create heteronuclear dipolar molecules in an optical lattice and exploit their strong electrostatic interactions for DQS of spin systems. The theory groups of Dr Jaksch in Oxford and Dr Daley in Innsbruck, will use state-of-the-art techniques to model the experimental systems, e.g. studying time-dependent transport phenomena and methods for preparing specialised many-body states via controlled addition of noise.

### Organisations

### Publications

Al-Assam S
(2010)

*Ultracold atoms in an optical lattice with dynamically variable periodicity*in Physical Review A
Al-Assam S
(2011)

*Capturing long range correlations in two-dimensional quantum lattice systems using correlator product states*in Physical Review B
Biamonte J
(2011)

*Categorical Tensor Network States*in AIP Advances
Biamonte J
(2010)

*Categorical Tensor Network States*
Bruderer M
(2007)

*Transport of strong-coupling polarons in optical lattices*
Bruderer M
(2008)

*Self-trapping of impurities in Bose-Einstein condensates: Strong attractive and repulsive coupling*in EPL (Europhysics Letters)
Bruderer M
(2008)

*Transport of strong-coupling polarons in optical lattices*in New Journal of Physics
Clark S
(2010)

*Entanglement consumption of instantaneous nonlocal quantum measurements*in New Journal of Physics
Foot C
(2018)

*Two-frequency operation of a Paul trap to optimise confinement of two species of ions*in International Journal of Mass Spectrometry
Johnson T
(2010)

*Dynamical simulations of classical stochastic systems using matrix product states*in Physical Review E
Klein A
(2007)

*Dynamics of vortices in weakly interacting Bose-Einstein condensates*in Physical Review A
Klein A
(2007)

*Dynamics, dephasing and clustering of impurity atoms in Bose-Einstein condensates*in New Journal of Physics
Klein A
(2008)

*Phonon-induced artificial magnetic fields*
Lee S
(2009)

*Testing quantum nonlocality by generalized quasiprobability functions*in Physical Review A
Palmer R
(2008)

*Optical lattice quantum Hall effect*
Palmer R
(2008)

*Optical lattice quantum Hall effect*in Physical Review A
Rosenkranz M
(2010)

*Simulating and detecting artificial magnetic fields in trapped atoms*in Physical Review A
Rosenkranz M
(2009)

*Simulating and detecting artificial magnetic fields in trapped atoms*
Vaucher B
(2008)

*Creation of resilient entangled states and a resource for measurement-based quantum computation with optical superlattices*in New Journal of Physics
Williams RA
(2008)

*Dynamic optical lattices: two-dimensional rotating and accordion lattices for ultracold atoms.*in Optics express
Williams RA
(2010)

*Observation of vortex nucleation in a rotating two-dimensional lattice of Bose-Einstein condensates.*in Physical review lettersDescription | This was postdoctoral funding which was separated from grant EP/E010873/1 for administrative reasons by EPSRC. |

Exploitation Route | n |

Sectors | Other |

Description | Yes, in the follow on grant EP/J008028/1 and by other researchers. |

First Year Of Impact | 2011 |