scholarly journals Analog quantum simulation of chemical dynamics

2021 ◽  
Author(s):  
Ryan J MacDonell ◽  
Claire Dickerson ◽  
Clare Birch ◽  
Alok Kumar ◽  
Claire Edmunds ◽  
...  
Keyword(s):  
Computational Complexity ◽  
Chemical Reactions ◽  
Molecular Size ◽  
Quantum Simulation ◽  
Chemical Dynamics ◽  
Many Body ◽  
Oppenheimer Approximation

Ultrafast chemical reactions are difficult to simulate because they involve entangled, many-body wavefunctions whose computational complexity grows rapidly with molecular size. In photochemistry, the breakdown of the Born-Oppenheimer approximation further...

scholarly journals Superconducting quantum many-body circuits for quantum simulation and computing

2020 ◽  
Vol 116 (23) ◽  
pp. 230501
Author(s):  
Samuel A. Wilkinson ◽  
Michael J. Hartmann
Keyword(s):  
Quantum Simulation ◽  
Many Body

scholarly journals Unification of the Nature’s Complexities via a Matrix Permanent—Critical Phenomena, Fractals, Quantum Computing, ♯P-Complexity

Entropy ◽  
2020 ◽  
Vol 22 (3) ◽  
pp. 322
Author(s):  
Vitaly Kocharovsky ◽  
Vladimir Kocharovsky ◽  
Sergey Tarasov
Keyword(s):  
Quantum Computing ◽  
Quantum Information ◽  
Computational Complexity ◽  
Critical Phenomena ◽  
Complex Variables ◽  
Integral Representations ◽  
Many Body ◽  
Fractal Structures ◽  
Information Processes ◽  
Complete Problems

We reveal the analytic relations between a matrix permanent and major nature’s complexities manifested in critical phenomena, fractal structures and chaos, quantum information processes in many-body physics, number-theoretic complexity in mathematics, and ♯P-complete problems in the theory of computational complexity. They follow from a reduction of the Ising model of critical phenomena to the permanent and four integral representations of the permanent based on (i) the fractal Weierstrass-like functions, (ii) polynomials of complex variables, (iii) Laplace integral, and (iv) MacMahon master theorem.

scholarly journals Quantum gas magnifier for sub-lattice-resolved imaging of 3D quantum systems

Nature ◽  
2021 ◽  
Vol 599 (7886) ◽  
pp. 571-575
Author(s):  
Luca Asteria ◽  
Henrik P. Zahn ◽  
Marcel N. Kosch ◽  
Klaus Sengstock ◽  
Christof Weitenberg
Keyword(s):  
Optical Imaging ◽  
Optical Lattices ◽  
Quantum Simulation ◽  
Matter Wave ◽  
Single Atom ◽  
Optical Traps ◽  
Quantum Gas ◽  
Many Body ◽  
Small Depth ◽  
Lattice Resolution

AbstractImaging is central to gaining microscopic insight into physical systems, and new microscopy methods have always led to the discovery of new phenomena and a deeper understanding of them. Ultracold atoms in optical lattices provide a quantum simulation platform, featuring a variety of advanced detection tools including direct optical imaging while pinning the atoms in the lattice1,2. However, this approach suffers from the diffraction limit, high optical density and small depth of focus, limiting it to two-dimensional (2D) systems. Here we introduce an imaging approach where matter wave optics magnifies the density distribution before optical imaging, allowing 2D sub-lattice-spacing resolution in three-dimensional (3D) systems. By combining the site-resolved imaging with magnetic resonance techniques for local addressing of individual lattice sites, we demonstrate full accessibility to 2D local information and manipulation in 3D systems. We employ the high-resolution images for precision thermodynamics of Bose–Einstein condensates in optical lattices as well as studies of thermalization dynamics driven by thermal hopping. The sub-lattice resolution is demonstrated via quench dynamics within the lattice sites. The method opens the path for spatially resolved studies of new quantum many-body regimes, including exotic lattice geometries or sub-wavelength lattices3–6, and paves the way for single-atom-resolved imaging of atomic species, where efficient laser cooling or deep optical traps are not available, but which substantially enrich the toolbox of quantum simulation of many-body systems.

Review of quantum simulation based on Rydberg many-body system

2020 ◽  
Author(s):  
Zheng-yuan Zhang ◽  
Dong-sheng Ding ◽  
Bao-Sen Shi
Keyword(s):  
Quantum Simulation ◽  
Body System ◽  
Many Body ◽  
Simulation Based
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