
janes-commings-hubbard modal

janes-commings-hubbard (jech) modal anedi kaanti yokka quantum dasha parivartananu roopondinche aneka-shareera quantum vyavastha. paeru suuchimchinatlugaa, janes-commings-hubbard modal anedi janes-commings modal yokka oka roopaantaram; oka dimensional jech modal "enn" jatacheyabadina single-mode kuharaala golusunu kaligi untundi, prati okkati rendu-sthaayi anuvutho untundi. pootii boses-hubbard namuunaa vale kakunda, janes-commings-hubbard dynamics photonic mariyu atamic degrees off freedumpy aadharapadi untundi, anduvalla chikitsa kosam balamaina-coupling siddhaantam avasaram. vyavastha yokka prayogaatmaka namuunaanu grahinchadaaniki oka paddhati vruttakaramga anusandhaaninchabadina suupar conducting cubitlanu upayogistundi.
charitra.
coupled kvt shrenulalo balamgaa sankarshana chendutunna photanla kosam mooat parivartanala sandarbhamlo jech modal modata juun 2006loe pratipaadinchabadindi. vibhina paraspara charya pathakam samakaaleekarinchabadindi, indulo naalugu sthaayi anuvulu bahya kshetraalato sankarshana chendutaayi, idhi balamaina paraspara sambandhita dynamicsto dhruvanaalaku daariteestundi.
aastulu.
jechi modal yokka faze rekhaachitraanni anchanaa vaeyadaaniki mean-feeled siddhaantaanni upayoginchi, jechi modal mooat insulator mariyu suupar fluid dasalanu pradarsinchaali.
hamiltonian.
jech modal yokka hamiltonian
(suutram _ 1):
ikkada suutram _ 3 anedi rendu-sthaayi anuvuku pauli operatorlu
"n"-th kuharam. suutram _ 4 anedi porugu kuharaala madhya tunnelling raetu, mariyu suutram _ 5 anedi vacuum raabi frequency, idhi photan-anuvu paraspara charya balaniki lakshanamgaa untundi. kuharam yokka pounahpunyam suutram _ 6 mariyu anhu parivartana pounahpunyam suutram _ 7. kuharaalanu aavartanamgaa pariganistaaru, tadwara "n" = "n" + 1 anie label cheyabadina kuharam kuharam "n" = 1kii anugunamgaa untundi. modal quantum tunnellingnu pradarsistundani gamaninchandi; eee prakriya josephson prabhavanni pooli untundi.
photonic mariyu atamic excitation number operatorlanu formula _ 8 mariyu formula _ 9 gaa nirvachinchadam, mottam excitationla sankhya parirakshita parimaanam,
ii.ii.suutram _ 10.
rendu-dhruveeya bandhita sthithulu.
photan-anuvu paraspara charya taginanta balamgaa unnappudu jech hamiltonian rendu-dhruveeya bandhita sthithulaku maddatu istundi. mukhyamgaa, kattubadi unna sthithulatho anubandhinchabadina rendu dhruvanaalu balamaina paraspara sambandhaanni pradarsistaayi, avi sthaanam sthalamlo okadaanikokati daggaragaa untaayi. eee prakriya optical jaalakamlo vikarshana bosonic anuvula bandham jatha erpadataaniki samanamga untundi.

