Quantum versus classical effects in the chirped-drive discrete nonlinear Schrödinger equation

Abstract

A chirped parametrically driven discrete nonlinear Schrodinger equation is discussed. It is shown that the system allows two resonant excitation mechanisms, i.e., successive two-level transitions (ladder climbing) or a continuous classical-like nonlinear phase-locking (autoresonance). Two-level arguments are used to study the ladder-climbing process, and semiclassical theory describes the autoresonance effect. The regimes of efficient excitation in the problem are identified and characterized in terms of three dimensionless parameters describing the driving strength, the dispersion nonlinearity, and the Kerr-type nonlinearity, respectively. The nonlinearity alters the borderlines between the regimes, and their characteristics.

Pendekatan Deep Learning Untuk Memprediksi Energi Keadaan Dasar Berdasarkan Potensial Osilator Harmonik Sederhana Dua Dimensi

“…Pendekatan berbasis fitur seperti itu juga digunakan dalam penemuan material untuk membantu ilmuwan material dalam menargetkan kandidat material yang menjanjikan dengan efisien. Teknik unsupervised learning juga telah digunakan untuk mengidentifikasi fase-fase dalam konfigurasi atom dan sistem benda-banyak [12]. Dalam penelitian lainnya, pembelajaran mesin telah berhasil menginterpolasi pemetaan posisi ke fungsi gelombang untuk potensial elektrostatik tertentu , tetapi hasilnya tidak dapat dipindahkan (transferable), yang juga merupakan keterbatasan dalam aplikasi jaringan saraf buatan pada persamaan diferensial parsial lainnya.…”

Quantum versus classical chirps in a Rydberg atom

“…In contrast, in the quantum limit, the system undergoes successive Landau-Zener (LZ) transitions [20,21], i.e., the quantum energy ladder climbing (LC). Both regimes of operation were demonstrated and used in atoms and molecules [22][23][24][25][26], Josephson junctions [27], plasma waves [28,29], discrete nonlinear systems [30], and cold neutrons [31].…”