Entropy for two weakly coupled quantum waveguides: asymptotic approach
https://doi.org/10.17586/2220-8054-2026-17-4-491-494
Abstract
Electron in a system of two plane quantum waveguides coupled through small window is considered. The method of matching the asymptotic expansions of the boundary problem solution is used. The dependence of entropy on the window width is described. for the case of small window in the framework of the asymptotic approach.
About the Authors
E. S. TrifanovaRussian Federation
Ekaterina S. Trifanova – Information Technologies and Programming Faculty
Kronverkskiy, 49, 197101, St. Petersburg
T. S. Yurova
Russian Federation
Tatiana S. Yurova – Institute of Mathematics
Kronverkskiy, 49, 197101, St. Petersburg
I. V. Blinova
Russian Federation
Irina V. Blinova – Institute of Mathematics
Kronverkskiy, 49, 197101, St. Petersburg
I. Y. Popov
Russian Federation
Igor Y. Popov – Institute of Mathematics
Kronverkskiy, 49, 197101, St. Petersburg
References
1. Fu J., Tang S.-F. Quantum computations with transverse modes of an optical field propagating in waveguides. Chin. Phys. Lett., 2003, 20, 1426.
2. Gavrilov M.I., Gortinskaya L.V., Pestov A.A., Popov I.Yu., Tesovskaya E.S. Quantum computer elements based on coupled quantum waveguides. Phys. Part. Nucl. Lett., 2007, 4 (2), P. 237–243.
3. Kok P., Williams C.P., Dowling J.P. Construction of a quantum repeater with linear optics. Phys. Rev. A, 2003, 68, 022301.
4. Knill E., Laflamme R., Milburn G.J. A scheme for efficient quantum computation with linear optics. Nature, 2001, 409, P. 46–52.
5. Guselnikov M.S., Gaidash A.A., Miroshnichenko G.P., Kozubov A.V. Properties of multi-moded phase-randomized coherent states. Nanosystems: Physics, Chemistry, Mathematics, 2025, 16 (3), P. 311–316.
6. Stepanov I., Goncharov R., Kiselev A.D. Sub-Poissonian light in fluctuating thermal-loss bosonic channels. Nanosystems: Physics, Chemistry, Mathematics, 2025, 16 (3), P. 333–342.
7. Latypov I.Z., Chistyakov V.V., Fadeev M.A., et al. Hybrid quantum communication protocol for fiber and atmosphere channel. Nanosystems: Physics, Chemistry, Mathematics, 2024, 15, P. 654–657.
8. Pachos J.K. Introduction to Topological Quantum Computation. Cambridge, Cambridge University Press, 2012.
9. Popov I.Y., Trifanova E.S., Bagmutov A.S., Lytaev A.A. Boundary composed of small Helmholtz resonators: asymptotic approach. Nanosystems: Physics, Chemistry, Mathematics, 2024, 15 (6), P. 736–741.
10. Melikhova A.S., Popov A.I., Blinova I.V., Popov I.Y. Mathematical model of weakly coupled spherical resonator chains under the influence of external magnetic field. Nanosystems: Physics, Chemistry, Mathematics, 2024, 15 (2), P. 155–159.
11. Exner P., Vugalter S. Bound state asymptotic estimates for window-coupled Dirichlet strips and layers. J. Phys. A: Math. Gen., 1997, 30, P. 7863– 7878.
12. Borisov D. Discrete spectrum of a pair of non-symmetric waveguides coupled by a window. Sbornik Mathematics, 2006, 197 (4), P. 475–504.
13. Dittrich J., Kriz J. Bound states in straight quantum waveguides with combined boundary conditions. J. Math. Phys., 2002, 43 (8), P. 3892–3915.
14. Figotin A. Analytic theory of coupled-cavity traveling wave tubes. J. Math. Phys., 2023, 64, 042705.
15. Popov I.Yu. Asymptotics of bound state for laterally coupled waveguides. Rep. on Math. Phys., 1999, 43 (3), P. 427–437.
16. Popov I.Yu. Asymptotics of Bound States and Bands for Waveguides Coupled Through Small Windows. Appl. Math. Lett., 2001, 14, P. 109–113.
17. Chogle F., Teklu B. Quantum Information Measures of a Dirichlet Waveguide with Neumann Window(s). Adv. Quant. Technol., 2026, 9, e70326.
18. Chogle F., Olendski O. Bound-state evolution of Dirichlet waveguide with Neumann window(s) in transverse electric fields. Phys. Scr., 2024, 99, 095509.
19. Olendski O. Comparative analysis of electric field influence on the quantum wells with different boundary conditions. I. Energy spectrum, quantum information entropy and polarization. Ann. Phys. (Berlin), 2015, 527 (3–4), P. 278–295.
Review
For citations:
Trifanova E.S., Yurova T.S., Blinova I.V., Popov I.Y. Entropy for two weakly coupled quantum waveguides: asymptotic approach. Nanosystems: Physics, Chemistry, Mathematics. 2026;17(4):491-494. https://doi.org/10.17586/2220-8054-2026-17-4-491-494
JATS XML
