27,333 research outputs found
Multiphoton controllable transport between remote resonators
We develop a novel method for multiphoton controllable transport between
remote resonators. Specifically, an auxiliary resonator is used to control the
coherent long-range coupling of two spatially separated resonators, mediated by
a coupled-resonator chain of arbitrary length. In this manner, an arbitrary
multiphoton quantum state can be either transmitted through or reflected off
the intermediate chain on demand, with very high fidelity. We find, on using a
time-independent perturbative treatment, that quantum information leakage of an
arbitrary Fock state is limited by two upper bounds, one for the transmitted
case and the other for the reflected case. In principle, the two upper bounds
can be made arbitrarily small, which is confirmed by numerical simulations.Comment: 16 pages, 7 figure
On blowup formulae for the S-duality conjecture of Vafa and Witten
This is the first part of two papers. In this part, we prove the blowup
formulae for virtual Hodge polynomials of Gieseker moduli spaces of rank-2
stable sheaves and Uhlenbeck compactification spaces over algebraic surfaces.
In particular, we verify the blowup formulae for the S-duality conjecture of
Vafa-Witten, i.e. the blowup formulae for the Euler numbers of instanton moduli
spaces over algebraic surfaces.Comment: 24 page
- …