# Delocalized Entanglement Of Atoms In Optical Lattices

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### Controlling and Detecting Spin Correlations of Ultracold

control nearest-neighbor spin correlations in many-body systems of ultracold atoms. Being able to measure these correlations is an important ingredient in studying quantum magnetism in optical lattices. We furthermore employ a SWAP operation between atoms which are part of different triplets, thus effectively increasing their bond-length.

### Delocalized Entanglement of Atoms in optical Lattices

Delocalized Entanglement of Atoms in optical Lattices K. G. H. Vollbrecht1 and J. I. Cirac1 1 Max-Planck Institut fu¨r Quantenoptik, Hans-Kopfermann-Str. 1, Garching, D-85748, Germany (Dated: November 14, 2006) We show how to detect and quantify entanglement of atoms in optical lattices in terms of cor-relations functions of the momentum

### Ultracold Bosonic and Fermionic Quantum Gases in Optical Lattices

Optical Lattice Potential Perfect Artificial Crystals λ/2= 425 nm Laser Laser optical standing wave Periodic intensity pattern creates 1D,2D or 3D light crystals for atoms (Here shown for small polystyrol particles). Perfect model systems for a fundamental understanding of quantum many body systems Tuesday, June 30, 2009

### Entanglement and entropy production in coupled single-mode

In contrast to earlier entropy measurements in optical lattices, involving a small sublattice with only a few atoms, coupled single-mode Bose-Einstein condensates would allow us to study entanglement in large correlated many-body systems [26 28]. Let us note that besides the double-well experiment illus-

### J. Opt. B: Quantum Semiclass. Opt. 2 Quantum transport in

Keywords: Quantum tunelling, chaos, optical lattices 1. Introduction Dynamics associated with a particle in a double-potential well play a key role in numerous areas of pure and applied sciences, and is an important paradigm for quantum coherent evolution. Most fundamental is the decay or oscillation of a meta-stable state via quantum tunnelling.

### Quantum Spin Lenses in Atomic Arrays

qubits stored in an atomic ensemble are mapped to a quantum register represented by single atoms. We propose Hamiltonians for quantum spin lenses as inhomogeneous spin models on lattices, which can be realized with Rydberg atoms in 1D, 2D, and 3D, and with strings of trapped ions. We discuss both linear

### Interference of Bose-Einstein condensates and entangled

tical lattices created by retroreﬂected laser beams pro-vide a unique tool for testing at a fundamental level the quantum properties of BECs in a periodic potential [2]. The interference patterns obtained from the expansion of an array of condensates trapped in an optical lattice are commonly used as a probe of the phase properties of this

### Quantum information processing in optical lattices and

localized to a single lattice site can be split and delocalized in a controlled and coherent way over a deﬁned number of lattice sites. In order to realize a spin dependent transport for neutral atoms in optical lattices, a standing wave conﬁguration formed by two counterpropagating laser beams with linear polarization vectors enclosing an

### Multipartite Entangled Spatial Modes of Ultracold Atoms

atoms in an optical lattice scatter light [Fig. 1(a)], and crucially, light is elevated to a dynamical variable (see FIG.1(coloronline). (a)Setup:Lightisscatteredfromatomsin an optical lattice. Generated spatial structure of three matter-field modes in 2D (b) and 1D (c) lattices. Sites of the same color are

### CompF6: Quantum Computing

e.g. atoms in optical lattices SRF cavities BECs e.g. trapped-ions, superconducting qubits H : universal gate sets digital computations Hybrid QPU like a GPU for the intrinsically quantum parts of the computation systematics? NISQ, a while before error-corrected Scaling?

### Quantum Information Processing in Optical Lattices and

show how the wave packet of an atom that is initially localized to a single lattice site can be split and delocalized in a controlled and coherent way over a deﬁned number of lattice sites. In order to realize a spin dependent transport for neutral atoms in optical lattices, a standing wave conﬁguration

### Measuring entanglement in synthetic - National MagLab

Neutral atoms in optical lattices Nature Physics 8, 267 276 (2012) Superconducting circuits Nature Physics 8, 292 299 (2012) Photonic networks Nature Physics 8, 285 291 (2012) NV defects in diamonds Physics Today 67(10), 38(2014)

### arXiv:cond-mat/0301169v1 [cond-mat.soft] 11 Jan 2003

tral atoms in optical lattices [17]. We show how the wave packet of an atom that is initially localized to a single lat-tice site can be split and delocalized in a controlled and coherent way over a deﬁned number of lattice sites. In order to realize a spin dependent transport for neu-tral atoms in optical lattices, a standing wave conﬁg-

### Quantum Information Processing with Trapped Neutral Atoms

consisting of short strings of atoms [21]. Other elements of neutral atom QIP have been pursued in a number of laboratories, including patterned loading of optical lattices [22], addressing of individual lattice sites [23], and alternative trap technologies such as magnetic microtraps [24] and arrays of optical tweezers traps [25,26].

### An introduction to Quantum Information and Quantum

Optical lattices of cold atoms III Two species, two potentials Atoms in the two basis states can be trapped by different potentials An atom can be delocalized by several lattices sites. MPQ, Munich, 2003.

### A way to study entanglement entropy between multi-body systems

Entanglement is one of the most intriguing features interacting delocalized particles, for which a direct bosonic atoms in optical lattices, we prepare two

### Neutral Atom Quantum Computing

E. Optical lattices II. Neutral Atom Quantum Computing state preparation, state measurement, single qubit gates, two qubit gates - - - Thanks to B. DeMarco, T. Porto, D. Meschede, I. Bloch and M. Saffman for sharing slides Warning: There are many QC-relevant neutral atom experimental methods and experiments that I will not discuss.

### Coupled quantum kicked rotors: a study about dynamical

suppressed in optical lattices, in which the arti cial nature of the lattice eliminates impurities and the low temperature limits the coupling of the system to external sources of noise (for a review see [22] or [23]). Among the phenomena which have been studied via ultracold atoms in optical lattices let us mention for example the

### Topical Research Meeting on Hybrid Quantum Systems

P.15 Novel dressed potentials for ultracold atoms: ring-traps and self-trapping lattices G Sinuco, University of Sussex, UK P.16 Observation of localized multi-spatial-mode quadrature squeezing in four-wave mixing P Petrov, University of Birmingham, UK P.17 Dual-channel optical nonreciprocity of cold atomic lattices in move

### Exploring exotic states of matter with interference

Polar molecules in optical lattices Ye et al. (2013) Rydberg atoms Ryabtsev et al. (2010) Bloch et al. (2012) Gap map in TiN film Nuclear spin interactions mediated by electron spin Angular momentum as spin degree of freedom Strong interactions due to large electric dipole moment

### Quantum Spin Lenses in Atomic Arrays

single delocalized spin excitation to be mapped to a spa-tial EPR-like superposition state, thus providing a way to distribute or generate entanglement between (distant) atoms [c.f. Fig.1(c)]. Finally, we will discuss the design of non-linear spin lenses, adding nite range (repulsive) spin-spin interactions to the spin-lens Hamiltonian. Thus

### Statistically related many-body localization in the one

delocalized regions by using the numerical exact diagonaliza-tion (ED) [37 40]. First, we present numerical evidence of the existence of the MBL phase in the anyon-Hubbard model. The half-chain entanglement entropy grows quickly in the ergodic phase and logarithmically slow in the localized region, respectively.

### Scaling the Ion Trap Quantum Processor - Science

background atoms, molecules, or surfaces. There are several compelling proposals for quantum computer architectures based on trapped neutral atoms and optical lattices, although the weak interaction between neutral atoms leads to diffi-culties in controlling their entanglement, and re-search in this area is still exploratory ( 3). Here, we

### experiment theory quantum optics quantum info

Atoms in Optical Lattices: Achievements Superﬂuid - Mott insulator quantum phase transition delocalized atoms: BEC (weakly interacting) shallow lattice: superﬂuid t>>U deep lattice: Mott insulator t<

__Quantum Optical Interferometry on a Kagome Cell__

__Quantum Optical Interferometry on a Kagome Cell thSeptember 27 , 2013 Perspectives on Quantum Many-Body Entanglement workshop, Mainz, Germany Amin Hosseinkhani1, Bahareh 2Ghannad1, Ali T. Rezakhani , 4Guillermo Romero3, and Hamed Saberi 1 Shahid Beheshti University, Tehran, Iran 2 Sharif University of Technology, Tehran, Iran__

__Coherently walking, rocking and blinding single neutral atoms__

__1.1. Preparation and Detection of Atoms with Single Site Resolution in an Optical Lattice We capture and cool single and few neutral caesium (Cs) atoms in a high-gradient magneto-optical trap and subsequently transfer the atoms into a far detuned, standing wave optical dipole trap (1D optical lattice) at = 866nm, see Fig. 1(a).__

__Quantum optics of many-body systems__

__Atoms in optical lattices each atom is delocalized over the whole lattice ( fluctuations) correlations and entanglement between the sites. Mott insulator__

__Atomic, Molecular, Optical, and Chemical Physics T__

__hybrid quantum systems of atoms and surface excitations. Vapor cells and coherent multi-photon spectroscopy are used to detect small electric fields by using collections of atoms as quantum sensors. A [Atomic, Molecular, Optical, and Chemical Physics ] solid-state picosecond laser is combined with frequency stabilized__

__BEC meets Cavity QED - TCM Group__

__N atoms in delocalized wavefunction of BEC Entanglement of several oscillators. Optical Lattices Quantum Gases in__

__REVIEW Scaling the Ion Trap Quantum Processor__

__background atoms, molecules, or surfaces. There are several compelling proposals for quantum computer architectures based on trapped neutral atoms and optical lattices, although the weak interaction between neutral atoms leads to diffi-culties in controlling their entanglement, and re-search in this area is still exploratory ( 3). Here, we__

__An introduction to Quantum Information and Quantum__

__Optical lattices of cold atoms IV Two species, two potentials Atoms in the two basis states can be trapped by different potentials An atom can be delocalized by several lattices sites. MPQ, Munich, 2003.__

__Experimental investigations of dipole dipole interactions__

__the entanglement of two atoms as well as on the measurement of interactions between Rydberg atoms. We focus on small, well-controlled systems of a few individual atoms trapped in arrays of addressable optical tweezers [8]. We will only brieﬂy mention recent works based on individual atoms held in optical lattices that use quantum gas__

__Phases of one-dimensional Bose-Hubbard model in optical__

__model in optical lattices with dipole-dipole interactions K. Biedron´1 J. Zakrzewski1;2 1Instytut Fizyki im. M. Smoluchowskiego Uniwersytet Jagiellonski´ 2Mark Kac Complex Systems Research Center Jagiellonian University Cracow School of Theoretical Physics, LVII Course, 2017 Entanglement and Dynamics__

__Transport and entanglement generation in the Bose Hubbard model__

__Mar 14, 2020 Alternatively, we propose to use spatially delocalized quantum bits, where a quantum bit is deﬁned by the presence of a particle either in a site or in the adjacent one. Our results can serve as guidance for future experiments to characterize entanglement of ultracold gases in one-dimensional optical lattices. PACS numbers: 03.65.Ud, 03.67.Mn__

__Quantum simulation and spectroscopy of entanglement Hamiltonians__

__recent years. Atoms in optical lattices [1] and ions in electrodynamic traps [2], for example, now offer unprec-edented access to the states, dynamics, and observables of interacting quantum systems. As these engineered systems become larger and more complex, conventional tomo-graphic methods [3] for characterizing their states and__

__Fermionizing Bosons in Optical Lattices__

__So far, experiments in 2D optical lattices have achieved γ≈0.5-1, Still 1D mean-field regime (see H. Moritz et al. PRL (2003)), allthough correlations begin to be modified (see B. Laburthe Tolra et al. cond-mat/0312003) 2 mg n γ= = 1. Increase Interaction strength 2. Decrease density 3. Increase mass ga=2 =ω⊥ n m Ways to increase γ:__

__Dynamical Creation of Bosonic Cooper-Like Pairs - Optical Lattice__

__onic atoms [1 3] and to observe the crossover from these large, delocalized objects to a condensate of bound mo-lecular states. Realizing similar experiments with bosons is difﬁcult, because attractive interactions may induce col-lapse. Two work-arounds are based on optical lattices, either loaded with hard-core bosonic atoms [4] or, as in__