Generating entangled pairs of vortex photons via induced emission

Autor: Grosman, D. V., Sizykh, G. K., Lazarev, E. O., Voloshin, G. V., Karlovets, D. V.

Pairs of entangled vortex photons can promise new prospects of application in quantum computing and cryptography. We investigate the possibility of generating such states via two-level atom emission stimulated by a single photon wave packet with a de

Externí odkaz: http://arxiv.org/abs/2411.14148

Cohomology of Lie coalgebras

Autor: Chuang, Joseph, Lazarev, Andrey, Sheng, Yunhe, Tang, Rong

A Koszul duality-type correspondence between coderived categories of conilpotent differential graded Lie coalgebras and their Chevalley-Eilenberg differential graded algebras is established. This gives an interpretation of Lie coalgebra cohomology as

Externí odkaz: http://arxiv.org/abs/2411.02884

Some Aspects of Remote State Restoring in State Transfer Governed by XXZ-Hamiltonian

Autor: Bochkin, Georgii A., Doronin, Sergei I., Fel'dman, Edward B., Kuznetsova, Elena I., Lazarev, Ilia D., Pechen, Alexander, Zenchuk, Alexander I.

Publikováno v: Lobachevskii Journal of Mathematics, 2024, Vol. 45, No. 3, pp. 972-991

We consider the remote state restoring and perfect transfer of the zero-order coherence matrix (PTZ) in a spin system governed by the XXZ-Hamiltonian conserving the excitation number. The restoring tool is represented by several nonzero Larmor freque

Externí odkaz: http://arxiv.org/abs/2407.16460

First measurement using elliptically polarized photons of the double-polarization observable $E$ for $\gamma p \to p \pi^0$ and $\gamma p \to n \pi^+$

Autor: A2 Collaboration, Afzal, F., Spieker, K., Hurck, P., Abt, S., Achenbach, P., Adlarson, P., Ahmed, Z., Akondi, C. S., Annand, J. R. M., Arends, H. J., Bashkanov, M., Beck, R., Biroth, M., Borisov, N., Braghieri, A., Briscoe, W. J., Cividini, F., Collicott, C., Costanza, S., Denig, A., Dieterle, M., Downie, E. J., Drexler, P., Fegan, S., Gardner, S., Ghosal, D., Glazier, D. I., Gorodnov, I., Gradl, W., Gurevich, D., Heijkenskjöld, L., Hornidge, D., Huber, G. M., Kashevarov, V. L., Kay, S. J. D., Korolija, M., Krusche, B., Lazarev, A., Livingston, K., Lutterer, S., MacGregor, I. J. D., Macrae, R. G., Manley, D. M., Martel, P. P., Miskimen, R., Mocanu, M., Mornacchi, E., Mullen, C., Neganov, A., Neiser, A., Oberle, M., Ostrick, M., Otte, P. B., Paudyal, D., Pedroni, P., Powell, A., Reicherz, G., Rostomyan, T., Sfienti, C., Sokhoyan, V., Steffen, O., Strakovsky, I. I., Strub, T., Supek, I., Thiel, A., Thiel, M., Thomas, A., Usov, Yu. A., Wagner, S., Walford, N. K., Watts, D. P., Werthmüller, D., Wettig, J., Witthauer, L., Wolfes, M., Zachariou, N.

We report the measurement of the helicity asymmetry $E$ for the $p\pi^0$ and $n\pi^+$ final states using, for the first time, an elliptically polarized photon beam in combination with a longitudinally polarized target at the Crystal Ball experiment a

Externí odkaz: http://arxiv.org/abs/2402.05531

Hochschild cohomology of the second kind: Koszul duality and Morita invariance

Autor: Guan, Ai, Holstein, Julian, Lazarev, Andrey

We define Hochschild cohomology of the second kind for differential graded (dg) or curved algebras as a derived functor in a compactly generated derived category of the second kind, and show that it is invariant under Morita equivalence of the second

Externí odkaz: http://arxiv.org/abs/2312.16645