Precise programmable quantum simulations with optical lattices

Abstract

We present an efficient approach to precisely simulate tight binding models with optical lattices, based on programmable digital-micromirror-device (DMD) techniques. Our approach consists of a subroutine of Wegner-flow enabled precise extraction of a tight-binding model for a given optical potential, and a reverse engineering step of adjusting the potential for a targeting model, for both of which we develop classical algorithms to achieve high precision and high efficiency. With renormalization of Wannier functions and high band effects systematically calibrated in our protocol, we show the tight-binding models with programmable onsite energies and tunnelings can be precisely simulated with optical lattices integrated with the DMD techniques. With numerical simulation, we demonstrate that our approach would facilitate quantum simulation of localization physics with adequate programmability and atom-based boson sampling for illustration of quantum computational advantage. We expect this approach would pave a way towards large-scale and precise programmable quantum simulations based on optical lattices.

Exact Solutions for Solitary Waves in a Bose-Einstein Condensate under the Action of a Four-Color Optical Lattice

“…The stability against structural perturbations is especially important, as the solutions are valid only for the specially designed form of the FOL potentials. This class of FOL trapping potentials offers straightforward potential for use in applications, such as quantum simulation and other quantum technologies [13,[28][29][30][31][39][40][41].…”

“…The presently engineered FOL may be the most advanced trapping potential for BEC, derived as an ingredient of exact solutions. It may find applications to the design of quantum simulation, information and computation schemes[28][29][30][31]. We will further illustrate the results by displaying density patterns.…”

“…Many exact condensate wave functions are obtained, and the results are illustrated by several characteristic examples. These solutions may be used for applications similar to those proposed in previous works [27][28][29][30][31][32]. Stability of the exact wave functions is addressed by means of direct simulations, adding random perturbations either to the underlying stationary solution, or to the external trap (the latter implies the consideration of the structural stability of the exact solutions).…”

Vibrational Effects on the Formation of Quantum $W$ States

“…Figure (5) shows F against β after the system being initialized by a gate pulse (blue line). Both phase signs are shown, e −i2π/3 (black line) and e +i2π/3 (red line).…”

“…2 Since then quantum entanglement became a prominent resource for quantum communication and quantum information processing, 3 with potential applications in problems such as prime factoring 4 and quantum simulations. 5 In the context of solid-state system, superconductingbased quantum devices have received great attention in the last decade, as they constitute one of the leading system for implementation of quantum computation. 6 For instance, transmon qubits in superconducting chips have been used to generate the Greenberg-Horner-Zeilinger state.…”