FieldsMathematical methods, classical and quantum physics, relativity, gravitation, numerical simulation, computational modeling

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Generalizing Poisson Algebra with Geometry
202196
Using a differential geometric interpretation of Hamiltonian mechanics, a generalized Poisson bracket formulation is developed for a threedimensional phase space characterized by a triplet of canonical variables.
Mathematical methods, classical and quantum physics, relativity, gravitation, numerical simulation, computational modeling

PTEP SPECIAL SECTION
Atoms Trapped with Light Behave Like a Dissipative Quantum System
2021719
A team of researchers from Japan experimentally realize, for the first time, a dissipative, paritytime symmetric, manybody quantum system from ultracold atoms trapped in an optical lattice.
Mathematical methods, classical and quantum physics, relativity, gravitation, numerical simulation, computational modeling
Gases, plasmas, electric discharges, and beams

PTEP SPECIAL SECTION
A Quantum Description of Physical Systems with Nonreal Energies
2021719
While quantum systems are traditionally described by Hermitian Hamiltonians, the formalism is extendable to a nonHermitian description for systems that are dissipative or obey paritytime symmetry.
Mathematical methods, classical and quantum physics, relativity, gravitation, numerical simulation, computational modeling
Nuclear physics
Electron states in condensed matter
Gases, plasmas, electric discharges, and beams

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Random Numbers Can Help Solve Difficult Problems in Manybody Physics
2021329
Theorists review a random state vectorbased description of quantum manybody systems which helps greatly reduce the computational burden involved in their numerical simulations, opening doors to applications in quantum computing.
Mathematical methods, classical and quantum physics, relativity, gravitation, numerical simulation, computational modeling
Electronic transport in condensed matter
Magnetic properties in condensed matter

A New Approach to Solving Periodic Differential Systems
2021329
Mathematicians and physicists are well acquainted with secondorder ordinary differential equations (ODE), the most prominent of them being the class of equations that govern oscillatory motion.
Mathematical methods, classical and quantum physics, relativity, gravitation, numerical simulation, computational modeling

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Hybrid Quantum–Classical Algorithms: At the Verge of Useful Quantum Computing
2021322
Scientists discuss the recent progress in algorithms that have enabled hybrid quantum–classical computers, which has brought the quest to realize useful quantum computing much closer to its finish line.
Mathematical methods, classical and quantum physics, relativity, gravitation, numerical simulation, computational modeling
Crossdisciplinary physics and related areas of science and technology

Solving Quantum Equations with Gauge Fields: How Explicit Integrators Based on a Bipartite Lattice and Affine Transformations Can Help
2021315
We proposed an explicit numerical integrator consisting of affine transformation pairs resulting from the checkerboard lattice for spatial discretization. It can efficiently solve time evolution equations that describe dynamical quantum phenomena under gauge fields, e.g., generation, motion, interaction of quantum vortices in superconductors or superfluids.
Mathematical methods, classical and quantum physics, relativity, gravitation, numerical simulation, computational modeling
Superconductivity