Effective study of the quantum damped harmonic oscillator | QSD2023 скачать в хорошем качестве

Effective study of the quantum damped harmonic oscillator | QSD2023

Quantum Science Days is an annual, international, and virtual scientific conference organized by QWorld (Association) to provide opportunities to the quantum community to present and discuss their research results at all levels (from short projects to thesis work to research publications), and to get to know each other. The third edition (QSD2023) included 7 invited speakers, 10 thematic talks on “Building an Open Quantum Ecosystem”, 31 contributed talks, an industrial demo session by Classiq, and a career talk on quantum. QSD2023 was sponsored by Unitary Fund & Classiq and supported by Latvian Quantum Initiative. Effective study of the quantum damped harmonic oscillator Speaker: Carlos Javier Valdez Abstract: An analysis of the quantization of the damped harmonic oscillator is presented. To this end, we study three approaches: the Feshbach-Tikonchinsky quantization of the Bateman Hamiltonian, the solution given by the employment of the Lindblad master equation, and the effective description of the quantum damped harmonic oscillator based on the Bateman Hamiltonian given by the momentous quantum mechanics. From the Feshbach-Tikochinsky method, we observed that despite its sophistication, the energy eigenvalues obtained are complex, and the uncertainty relation evolution decays to zero. The solution given by the Lindblad master equation, on the other hand, provides a description that holds the Heisenberg uncertainty and shows how the energy of the quantum damped harmonic oscillator decays to the energy levels given by the environment. By using the momentous quantum mechanics, we observe quantum corrections that Bateman's dual Hamiltonian undergoes when it is quantized. This allowed us to propose a framework, under which the effective method allows the conservation of the classical symplectic structure, at the same time it is possible to test the consequences of promoting to operators the physical and not the canonical momenta. From this, we are able to show and compare under which conditions the solution obtained by this method is similar to the one given by the Lindblad master equation. Obtaining that the evolution given by the momentous quantum mechanics is similar to the case in the Lindblad approach, when the system of interest is isolated from the environment. We discuss the problems present in the quantization of the Bateman Hamiltonian, and how the semiclassical formulation overcomes these shortcomings. We invite you to watch the recorded lectures! Join the QWorld community! Read more at https://qworld.net/ Follow us on   / qworld19     / qworld19     / qworld19   Join our Discord workspace: https://discord.qworld.net/