Ab initio calculation of Hubbard parameters for Rydberg-dressed atoms in an one-dimensional optical lattice

  title={Ab initio calculation of Hubbard parameters for Rydberg-dressed atoms in an one-dimensional optical lattice},
  author={Yashwant Chougale and Rejish Nath},
  journal={arXiv: Quantum Gases},
We obtain ab initio the Hubbard parameters for Rydberg-dressed atoms in an one-dimensional sinusoidal optical lattice in the basis of maximally localized wannier states. Finite range, soft-core inter-atomic interactions become the trait of Rydberg admixed atoms, which can be extended over many neighbouring lattice sites. On contrary to dipolar gases, where the interactions follow an inverse cubic law, the key feature of Rydberg-dressed interactions being the possibility of making neighbouring… 

Figures from this paper

Quench dynamics of Rydberg-dressed bosons on two-dimensional square lattices
We study the dynamics of bosonic atoms on a two-dimensional square lattice, where atomic interactions are long ranged with either a box or soft-core shape. The latter can be realized through laser
Hyperchaos in a Bose-Hubbard Chain with Rydberg-Dressed Interactions
We study the chaos and hyperchaos of Rydberg-dressed Bose–Einstein condensates (BECs) in a one-dimensional optical lattice. Due to the long-range, soft-core interaction between the dressed atoms, the
Dynamics and quantum correlations in two independently driven Rydberg atoms with distinct laser fields
We study the population dynamics in a two-atom setup in which each atom is driven independently by different light fields, but coupling the same Rydberg state. In particular, we look at how an offset
Quantum computing with atomic qubits and Rydberg interactions: progress and challenges
We present a review of quantum computation with neutral atom qubits. After an overview of architectural options and approaches to preparing large qubit arrays we examine Rydberg mediated gate
Dynamical excitation of maxon and roton modes in a Rydberg-dressed Bose-Einstein condensate
We investigate the dynamics of a three-dimensional Bose-Einstein condensate of ultracold atomic gases with a soft-core shape long-range interaction, which is induced by laser dressing the atoms to a
Nonlinear dynamics of Rydberg-dressed Bose-Einstein condensates in a triple-well potential
We study nonlinear dynamics of Rydberg-dressed Bose-Einstein condensates (BECs) trapped in a triple-well potential in the semiclassical limit. The Rydberg-dressed BECs experience a long-range
Population trapping in a pair of periodically driven Rydberg atoms
We study the population trapping extensively in a periodically driven Rydberg dimer. The periodic modulation of the atom-light detuning effectively suppresses the Rabi couplings and, together with


Ab initio derivation of Hubbard models for cold atoms in optical lattices
We derive ab initio local Hubbard models for several optical lattice potentials of current interest, including the honeycomb and Kagom\'{e} lattices, verifying their accuracy on each occasion by
Rydberg dressing: Understanding of collective many-body effects and implications for experiments
The strong interaction between Rydberg atoms can be used to control the strength and character of the interatomic interaction in ultracold gases by weakly dressing the atoms with a Rydberg state.
Non-standard Hubbard models in optical lattices: a review.
The main part of the review discusses the importance of additional terms appearing when refining the tight-binding approximation for the original physical Hamiltonian, and the effects related to higher Bloch bands also become important even for deep optical lattices.
Rydberg-atom quantum simulation and Chern-number characterization of a topological Mott insulator
In this work we consider a system of spinless fermions with nearest and next-to-nearest neighbor repulsive Hubbard interactions on a honeycomb lattice, and propose and analyze a realistic scheme for
Quantum spin-ice and dimer models with Rydberg atoms
Quantum spin-ice represents a paradigmatic example of how the physics of frustrated magnets is related to gauge theories. In the present work, we address the problem of approximately realizing
Many-body spin interactions and the ground state of a dense Rydberg lattice gas.
We study a one-dimensional atomic lattice gas in which Rydberg atoms are excited by a laser and whose external dynamics is frozen. We identify a parameter regime in which the Hamiltonian is well
Cluster Luttinger liquids of Rydberg-dressed atoms in optical lattices.
This work demonstrates the stabilization of critical quantum liquids with qualitatively new features with respect to the Tomonaga-Luttinger liquid paradigm that result from frustration and cluster formation in the corresponding classical ground state.
Quantum Magnetism and Topological Ordering via Rydberg Dressing near Förster Resonances.
The described approach provides a viable route to exploring quantum magnetism with dynamically tunable (an)isotropic interactions as well as variable space and spin dimensions in cold-atom experiments.
Exotic topological density waves in cold atomic Rydberg-dressed fermions
This work studies Rydberg-dressed atomic fermions in a three-dimensional optical lattice predicting the existence of hitherto unheard-of exotic mixed topological density wave phases and suggests gapless fermionic states could exhibit far richer topology than previously expected.
Maximally-localized Wannier Functions: Theory and Applications
The electronic ground state of a periodic system is usually described in terms of extended Bloch orbitals, but an alternative representation in terms of localized "Wannier functions" was introduced