Российский Квантовый Центр Russian Quantum Center

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Open RQC colloquium. Lecture 9


The ninth lecture "Polariton Lattices: a new platform for quantum simulators" in "Open RQC colloquium" will be held in National University of Science and Technology MISIS (Moscow, Leninskiy prospekt 4), lecture hall № Б-636 (5th floor), on 14th of October at 10:00 a.m by prof. Pavlos Lagoudakis, University of Southampton (United Kingdom) and Skolkovo Institute of Science & Technology (Moscow, Russia).


Abstract

Finding the ground state of physical systems is the natural quantum analogue of classical constraint satisfaction problems that are mapped into various optimization problems in technology and life sciences. Most of these problems belong to the non-deterministic polynomial time (NP)-complete or NP-hard complexity classes and cannot be solved efficiently using classical digital computers. Several platforms are currently being explored for simulating physical systems whose complexity increases faster than polynomially with the number of particles or degrees of freedom in the system. Many of these computationally intractable problems can be mapped into classical spin models such as the Ising and the XY models and simulated by a suitable physical system. Here, I will present recent results on the potential of polariton graphs as an efficient simulator for finding the global minimum of the classical XY Hamiltonian. By imprinting polariton condensate lattices of bespoke geometries we show that we can simulate a large variety of systems undergoing the U symmetry breaking transitions. We realise various magnetic phases, such as ferromagnetic, anti-ferromagnetic, and frustrated spin configurations on unit cells of various lattices: linear chain, square, triangular and a disordered graph. Our results provide a route to study unconventional superfluids, spin-liquids, Berezinskii-Kosterlitz-Thouless phase transition, classical magnetism among the many systems that are described by the XY Hamiltonian.

Biography

Prof. Pavlos Lagoudakis graduated of the University of Athens, Greece, Pavlos received his PhD degree in Physics from the University of Southampton, UK in 2003 and conducted his postdoctoral research on optoelectronic properties of organic semiconductors at the Ludwig Maximilians University of Munich, Germany. In 2006, he returned to Southampton as Lecturer at the department of Physics and Astronomy, where he combined his expertise in inorganic and organic semiconductors and set up a new experimental activity on Hybrid Photonics. In 2008, Pavlos was appointed to a personal chair at the University of Southampton. Since 2013, Pavlos is the Director for Research at the department of Physics and Astronomy at the University of Southampton. At Skoltech, Pavlos has designed, setup and is leading our Hybrid Photonics lab with a focus on hybrid photonic devices and quantum simulators.

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