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Quantum annealing is a general strategy for solving difficult optimization problems with the aid of quantum adiabatic evolution. Both analytical and numerical evidence suggests that under idealized, closed system conditions, quantum annealing can outperform classical thermalization-based algorithms such as simulated annealing. Current engineered quantum(More)
We study the finite temperature dynamics of SU (N c) gauge theory for large N c , with fundamental quark flavours in a quenched approximation, in the presence of a fixed charge under a global current. We observe several notable phenomena. There is a first order phase transition where the quark condensate jumps discontinuously at finite quark mass,(More)
In studying the dynamics of large N c , SU (N c) gauge theory at finite temperature with fundamental quark flavours in the quenched approximation, we observe a first order phase transition. A quark condensate forms at finite quark mass, and the value of the condensate varies smoothly with the quark mass for generic regions in parameter space. At a(More)
Using a ten dimensional dual string background, we study aspects of the physics of finite temperature large N four dimensional SU (N) gauge theory, focusing on the dynamics of fundamental quarks in the presence of a background magnetic field. At vanishing temperature and magnetic field, the theory has N = 2 supersymmetry, and the quarks are in(More)
We study a system of a complex charged scalar coupled to a Reissner–Nordström black hole in 3+1 dimensional anti–de Sitter spacetime, neglecting back–reaction. With suitable boundary conditions, the cases of a neutral and purely electric black hole have been studied in various limits and were shown to yield key elements of superconductivity in the dual 2+1(More)
We use a ten dimensional dual string background to study aspects of the physics of large N four dimensional SU (N) gauge theory, where its fundamental quarks are charged under a background electric field. The theory is N = 2 supersymmetric for vanishing temperature and electric field. We work in a limit where the quarks do not back–react. At zero(More)
In studying the dynamics of large N c SU (N c) gauge theory with fundamental quark flavours in the quenched approximation, we observe a novel phase transition at finite temperature. A quark condensate forms at finite quark mass, and the value of the condensate varies smoothly with the quark mass for generic region in parameter space. At a particular value(More)
We develop from first principles Markovian master equations suited for studying the time evolution of a system evolving adiabatically while coupled weakly to a thermal bath. We derive two sets of equations in the adiabatic limit, one using the rotating wave (secular) approximation that results in a master equation in Lindblad form, the other without the(More)
We study the evolution and scaling of the entanglement entropy after two types of quenches for a 2 + 1 field theory, using a conjectured holographic technique for its computation. We study a thermal quench, dual to the addition of a shell of uncharged matter to four-dimensional anti-de Sitter (AdS 4) spacetime, and study the subsequent formation of a(More)