Free Republic
Browse · Search
General/Chat
Topics · Post Article

Skip to comments.

*Two coupled Jaynes-Cummings cells*
Vortex-L and arxiv.org ^ | Mon, 03 Jun 2013 11:13:49 -0700 | Axil Axil ; Peng Xuea,b, Zbigniew Ficekc and Barry C. Sandersb

Posted on 06/03/2013 1:44:54 PM PDT by Kevmo




http://arxiv.org/pdf/1202.4827v1.pdf

*Two coupled Jaynes-Cummings cells*

We develop a theoretical framework to evaluate the energy spectrum,
stationary states, and dielectric susceptibility of two Jaynes-Cummings
systems coupled together by the overlap of their respective longitudinal
field modes, and *we solve and characterize the combined system for the
case that the two atoms and two cavities share a single quantum of energy.
*

INTRODUCTION
The Jaynes-Cummings (JC) system1, 2 comprises a two-level atom (2LA) coupled to a single optical resonator mode.
Although Jaynes and Cummings emphasized the robustness of the semiclassical description as compared to the fully
quantum model, manifestations of quantum field effects are now ubiquitous3–7 leading to optimism that JC systems will
soon be coupled together in one- or more-dimensional lattices8 thereby yielding novel condensed-matter phenomena.9–12
The first step to achieving coupled JC systems is to create and study a double-JC (DJC) system.
We develop a theoretical framework for the DJC system by calculating its stationary states, energy spectrum and dielectric
susceptibility, and we show that this quadripartite system comprising two atoms and two field modes has fascinating
features. The system is effectively characterized by two independent parameters: g for the coupling rate between the
resonator and the single atom and κ for the coherent photon hopping rate between the two resonators and proportional to
the overlap of the two resonator field modes. By varying g and κ, quite different features emerge from the DJC system.
Although we are interested in general properties of this system, our focus here is specifically on the case that the the DJC
system shares precisely one quantum of energy.
CONCLUSIONS
We have constructed a framework for calculating the energy spectrum, stationary states, and dielectric susceptibility of
two Jaynes-Cummings systems coupled together by the overlap of their respective longitudinal field modes and solved it
for ν = 0 and ν = 1 excitations of the system, which can be understood in terms of four coupled qubits. For weak coupling,
the pair of systems is similar to a single Jaynes-Cummings system undergoing an AC Stark effect, and for strong coupling
the behavior is similar to two coupled harmonic oscillators. For moderate coupling strengths, the pair of atoms and the
pair of field modes can be highly entangled states, and, where the spectrum exhibits avoided crossings as a function of the
detuning, the atoms and fields are found in maximally entangled four-qubitW-like states. We also show the susceptibility
and the absorption of the system that explore the entangled features of the system.


--------------------------------------------------------------------------------------------------------------------
Article on Vortex-L:
http://www.mail-archive.com/vortex-l@eskimo.com/msg82306.html


Here is how two entangled particles share a single quantum of energy

You will notice that the each particle gets a part of the FREQUENCY of the
quantum based on the coupling constant.


See figures 3 and 4.

-------------------------------------------------------------------------------------------------------------------------

The atoms in a Bose-Einstein condensate follow the Jaynes-Cummings model.

http://en.wikipedia.org/wiki/Jaynes%E2%80%93Cummings_model

Jaynes–Cummings model


More to the point, when a Ni/H system get going after state up, the systems
becomes totally entangled.


This type of system is described by the Jaynes–Cummings–Hubbard model

http://en.wikipedia.org/wiki/Jaynes%E2%80%93Cummings%E2%80%93Hubbard_model

Drawing a connection between the Ni/H reactor and a Bose-Einstein
condensate as follows:


http://www.ncbi.nlm.nih.gov/pubmed/20208523

In spite of their different natures, light and matter can be unified under
the strong-coupling regime, yielding superpositions of the two, referred to
as dressed states or polaritons. After initially being demonstrated in bulk
semiconductors and atomic systems, strong-coupling phenomena have been
recently realized in solid-state optical microcavities. Strong coupling is
an essential ingredient in the physics spanning from many-body quantum
coherence phenomena, such as Bose-Einstein condensation and superfluidity,
to cavity quantum electrodynamics. Within cavity quantum electrodynamics,
the Jaynes-Cummings model describes the interaction of a single fermionic
two-level system with a single bosonic photon mode. For a photon number
larger than one, known as quantum strong coupling, a significant
anharmonicity is predicted for the ladder-like spectrum of dressed states.
For optical transitions in semiconductor nanostructures, first signatures
of the quantum strong coupling were recently reported. Here we use advanced
coherent nonlinear spectroscopy to explore a strongly coupled
exciton-cavity system. We measure and simulate its four-wave mixing
response, granting direct access to the coherent dynamics of the first and
second rungs of the Jaynes-Cummings ladder. The agreement of the rich
experimental evidence with the predictions of the Jaynes-Cummings model is
proof of the quantum strong-coupling regime in the investigated solid-state
system.



This says to me that the Ni/H system obeys the same rules as the BEC.

I showed you that in such a Jaynes-Cummings system, the atoms share the
frequency of a quantum as defined by a coupling constant.

This how the FREQUENCY of a gamma ray quantum is shared(chopped up) between
all the ensemble members of the NI/H system.







TOPICS: Business/Economy; Science
KEYWORDS: cmns; coldfusion; ecat; lenr
http://www.mail-archive.com/vortex-l@eskimo.com/msg82306.html

http://arxiv.org/pdf/1202.4827v1.pdf

1 posted on 06/03/2013 1:44:54 PM PDT by Kevmo
[ Post Reply | Private Reply | View Replies]

To: dangerdoc; citizen; Liberty1970; Red Badger; Wonder Warthog; PA Engineer; glock rocks; free_life; ..

The Cold Fusion/LENR Ping List

http://www.freerepublic.com/tag/coldfusion/index?tab=articles

http://www.mail-archive.com/vortex- href=”mailto:l@eskimo.com”>l@eskimo.com/msg82306.html

http://arxiv.org/pdf/1202.4827v1.pdf


http://lenr-canr.org/


2 posted on 06/03/2013 1:45:52 PM PDT by Kevmo ("A person's a person, no matter how small" ~Horton Hears a Who)
[ Post Reply | Private Reply | To 1 | View Replies]

To: Kevmo

If we could figure out a way to destabilize matter to allow it to decay by altering the weak nuclear force we could turn matter directly into energy....


3 posted on 06/03/2013 2:20:46 PM PDT by GraceG
[ Post Reply | Private Reply | To 1 | View Replies]

To: GraceG

Interesting thought. There was a post recently that had an experiment that caused the Bose-Einsten condensenate to happen at higher temperatures because of the shape of the containg cavity. I was wondering if anyone had achieved the Bose Nova effect using that procedure and Lithium atoms.
But then I also wonder if Hawkings has said that micro black holes evaporate in a flare of energy , couldn’t an advanced race inject matter at the same rate it is evaporating and convert matter to energy. Might be tricky.


4 posted on 06/03/2013 2:51:14 PM PDT by techcor
[ Post Reply | Private Reply | To 3 | View Replies]

To: techcor

If one could create an anti-gravitiational field you may be able to generate an artificial singularity that you could inject matter into at the same rate it is spewing out hawking radiation....

You would have to focus the anti-grav beam the same way they focus magnetic fields in hot fusion containment...

Not sure how efficient it would be...

Maybe if you used an electrolytically confined system of a Bose Einstein condensate and inject small globs of Bose Einstein condensate to “feed” it....


5 posted on 06/03/2013 2:58:05 PM PDT by GraceG
[ Post Reply | Private Reply | To 4 | View Replies]

Disclaimer: Opinions posted on Free Republic are those of the individual posters and do not necessarily represent the opinion of Free Republic or its management. All materials posted herein are protected by copyright law and the exemption for fair use of copyrighted works.

Free Republic
Browse · Search
General/Chat
Topics · Post Article

FreeRepublic, LLC, PO BOX 9771, FRESNO, CA 93794
FreeRepublic.com is powered by software copyright 2000-2008 John Robinson