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PRODID:-//talks.bham.ac.uk//v3//EN
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CATEGORIES:Theoretical Physics Seminars
SUMMARY:Multi-Modes Systems in Quantum Optics - Ben Yuen (
Metamaterials Group\, University of Birmingham)
DTSTART:20200319T131500Z
DTEND:20200319T144500Z
UID:TALK4185AT
URL:/talk/index/4185
DESCRIPTION:A dipole oscillating in an electromagnetic field i
s ubiquitous in modern physics. Physically and the
oretically this system is beautifully simple. Desp
ite this simplicity\, it is striking that we are y
et to discover an exact analytic solution to Rabi’
s model which describes it. Only its approximated
form - the Jaynes—Cummings model - has been solved
exactly. Furthermore\, we must ask what happens b
eyond the very simplest of situations to understan
d the real world. The world is full of colour. Wh
at happens when the light with which atoms interac
t is polychromatic?\n\nI will present promising ne
w methods for tackling the polychromatic Rabi and
Jaynes-Cummings models — where a dipole is driven
by a field with multiple frequency modes [1-3]. Th
ese simple systems have a surprisingly rich range
of dynamics\, exhibiting collapse\, revivals and s
ignatures of chaos. I will show how these methods
can be applied when the field is considered quantu
m or classical to produce accurate analytic descri
ptions of the time evolution of the system. I will
indicate how considering the single frequency Rab
i model within a multi-frequency formalism allows
progress to be made on finding an exact analytic s
olution to this 80 year old problem. Furthermore\,
these methods can be connected through the Lie al
gebra of the system Hamiltonian. The Lie algebra\
, which is not closed\, gives insight into the dif
ficulty of finding exact solutions. This motivates
a search for similar models where the Lie algebra
is closed\, which can in principle be solved\, su
ch as the Tavis-Cummings model and a network of co
upled cavities. I show that even in this case the
dynamics can resemble those of an open quantum sys
tem.\n\n[1] Yuen\, B. (2018). Quantum Mechanics in
Technicolor\; Analytic Expressions for a Spin-Hal
f Particle Driven by Polychromatic Light. arXiv pr
eprint arXiv:1805.05922.\n\n[2] Yuen\, B.\, & Foot
\, C. J. (2019). Multi-Frequency Atom-Photon Inter
actions. arXiv preprint arXiv:1907.01469.\n\n[3] L
uksch\, K.\, Bentine\, E.\, Barker\, A. J.\, Sunam
i\, S.\, Harte\, T. L.\, Yuen\, B.\, & Foot\, C. J
. (2018). Probing multiple-frequency atom-photon i
nteractions with ultracold atoms. arXiv preprint a
rXiv:1812.05545.\n
LOCATION:Theory Library
CONTACT:Dr Hannah Price
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