Quantum statistics of a threelevel maser
(2022) FYSK02 20212Mathematical Physics
Department of Physics
 Abstract
 Lasers and masers have numerous uses in today’s society. Improving our understanding of the underlying physics and its application is thus of great importance. In this paper, the physics of a threelevel maser when treated as a heatengine was investigated: certain levels were coupled to thermalreservoirs, effectively allowing for pumping without an external bias. The thermodynamical treatment for a threelevel maser stems from the Scovil &
SchulzDubois maser, who first discussed and theorized this model. This treatment allows for investigation of the laws of thermodynamics when applied to a system of quantummechanical nature, as well as the intricacy of the underlying physics.
Under the assumption that the system is governed by... (More)  Lasers and masers have numerous uses in today’s society. Improving our understanding of the underlying physics and its application is thus of great importance. In this paper, the physics of a threelevel maser when treated as a heatengine was investigated: certain levels were coupled to thermalreservoirs, effectively allowing for pumping without an external bias. The thermodynamical treatment for a threelevel maser stems from the Scovil &
SchulzDubois maser, who first discussed and theorized this model. This treatment allows for investigation of the laws of thermodynamics when applied to a system of quantummechanical nature, as well as the intricacy of the underlying physics.
Under the assumption that the system is governed by Lindblad’s master equation, one solved the differential equation, numerically, with two methods: Euler’s, and RungeKutta’s method. Comparing the two methods, yielded in the use of RungeKutta’s method for further simulations. For a set of initialconditions, one found Rabioscillations between the atomic ground state, and the corresponding first excited state, when initially starting
the system. Moreover, the entropy of the cavity increased in time, as expected. The Rabioscillations affected the timederivative of S. Lastly, an initialcondition constructed by a Glauberstate was simulated; the mean field of ˆa oscillates in time, which is expected since one effectively treats the system as a classical harmonic oscillator. (Less)
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/studentpapers/record/9074964
 author
 Evensen, Andreas ^{LU}
 supervisor

 Andreas Wacker ^{LU}
 organization
 course
 FYSK02 20212
 year
 2022
 type
 M2  Bachelor Degree
 subject
 keywords
 Maser, Laser, SSDmaser, Euler's method, RungeKutta method, Louvillian, Dissipator, Lindblad's master equation, Entropy, Thermodynamics, Coherentstate, Glauberstate, Python, RabiOscillations, Occupation number of the photon mode, Density operator
 language
 English
 id
 9074964
 date added to LUP
 20220210 11:58:21
 date last changed
 20220210 11:58:21
@misc{9074964, abstract = {{Lasers and masers have numerous uses in today’s society. Improving our understanding of the underlying physics and its application is thus of great importance. In this paper, the physics of a threelevel maser when treated as a heatengine was investigated: certain levels were coupled to thermalreservoirs, effectively allowing for pumping without an external bias. The thermodynamical treatment for a threelevel maser stems from the Scovil & SchulzDubois maser, who first discussed and theorized this model. This treatment allows for investigation of the laws of thermodynamics when applied to a system of quantummechanical nature, as well as the intricacy of the underlying physics. Under the assumption that the system is governed by Lindblad’s master equation, one solved the differential equation, numerically, with two methods: Euler’s, and RungeKutta’s method. Comparing the two methods, yielded in the use of RungeKutta’s method for further simulations. For a set of initialconditions, one found Rabioscillations between the atomic ground state, and the corresponding first excited state, when initially starting the system. Moreover, the entropy of the cavity increased in time, as expected. The Rabioscillations affected the timederivative of S. Lastly, an initialcondition constructed by a Glauberstate was simulated; the mean field of ˆa oscillates in time, which is expected since one effectively treats the system as a classical harmonic oscillator.}}, author = {{Evensen, Andreas}}, language = {{eng}}, note = {{Student Paper}}, title = {{Quantum statistics of a threelevel maser}}, year = {{2022}}, }