Quantum simulator

General ideas

This work Systems: atomic, molecular, optical, solid state. Being built are gated quantum dots and photonic arrays. Possible areas of research are:

1. Quantum materials simulation.
   1. pseudo-gap
   2. strange metals
   3. the quantum critical fan
   4. heterostructures,
   5. artificial lattice structures (quantum spin ice)
   6. quantum generalizations of soft matter (the spin glass)
2. Quantum chemistry
   1. to build a model of the photosynthesis problem
   2. calculating reaction rates and modeling catalysis
   3. calculating molecular properties of a single Cr2 dimer
3. Quantum devices and transport
   1. the transport properties of the Fermi-Hubbard model should provide understanding of high-temperature cuprate phenomenology
   2. quantum-dot based photovoltaics
   3. quantum thermoelectrics
   4. spintronics
   5. nanothermodynamics (an information-based Carnot cycle)
4. Gravity, particle physics, and cosmology
   1. lattice gauge theories
   2. color superconductivity
   3. cosmological defect production in inflating spacetimes
   4. quantum effects in curved spacetimes
5. Non-equilibrium quantum many-body dynamics

Proposals in Edmonton

Systems with reduces dimensions - Topological systems in 2D

Strong enhancement of quantum fluctuations the system is incalculable. Spin-momentum coupled ultracold bosons are confined to two dimensions to create unconventional topological quantum matter. Experimental steps:

1. The two-dimensional spin-momentum coupling needs to be achieved (winter 2020),
2. confinement of the system to a 2D plane to enhance quantum fluctuations, requires green laser (Summer 2020)
3. adding the optical lattice to increase the role of quantum fluctuations

Systems with engineered periodic potentials - higher-genus topology in synthetic materials

Synthetic materials whose Brillouin zone has the topology of a highte-genus surface (donut with two or more holes). Creating of aperiodic potentials, which should be created with SLM.

Non-abelian

In order to prepare the non-Abelian geometric gauge transformation (non-Abelian gauge potentials) a quantum system with degenerate energy levels is required. Different approaches exist, among them are multipod schemes, systems with special symmetry properties, and a periodically driven systems , .

Bigelow

Propose to generate an SU(2) non-Abelian geometrical gauge transdoramtion by a periodically driven Raman process. Geometric phase translated into a spin rotation of the system. If the oscillating magnetic field is slowly changing the direction, then a non-Abelian geometric phase will appear.