Quantum Pairing Time Orders

Quantum pairing of impurities in quantum crystals.

Quantum quenches and competing orders

Abstract We study the non-equlibrium dynamics of an electronic model of competition between an unconventional charge density wave (a bond density wave) and d-wave superconductivity. In a time-dependent HartreeFock+BCS approximation, the dynamics reduces to the equations of motion of operators realizing the generators of SU(4) at each pair of momenta, (k, k), in the Brillouin zone. We also study...

Experimental superposition of orders of quantum gates

Quantum computers achieve a speed-up by placing quantum bits (qubits) in superpositions of different states. However, it has recently been appreciated that quantum mechanics also allows one to 'superimpose different operations'. Furthermore, it has been shown that using a qubit to coherently control the gate order allows one to accomplish a task--determining if two gates commute or anti-commute...

Quantum Cyclotomic Orders of 3-manifolds

This paper provides a topological interpretation for number theoretic properties of quantum invariants of 3-manifolds. In particular, it is shown that the p-adic valuation of the quantum SO(3)-invariant of a 3-manifold M , for odd primes p, is bounded below by a linear function of the mod p first betti number of M . Sharper bounds using more delicate topological invariants are given as well.

Cyclic orders on the quantum grassmannian

The quantum grassmannian is known to be a graded quantum algebra with a straightening law when the poset of generating quantum minors is endowed with the standard partial ordering. In this paper it is shown that this result remains true when the ordering is subjected to cyclic shifts. The method involves proving that noncommutative dehomogenisation is possible at any consecutive quantum minor. ...