NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS, 2015, 6 (6), P. 786-792
A topological formulation for exotic quantum holonomy
A. Tanaka – Department of Physics, Tokyo Metropolitan University, Hachioji, Tokyo 192-0397, Japan; tanaka-atushi@tmu.ac.jp
T.Cheon – Laboratory of Physics, Kochi University of Technology, Tosa Yamada, Kochi 782-8502, Japan
An adiabatic change of parameters along a closed path may interchange the (quasi-)eigenenergies and eigenspaces of a closed quantum system. Such discrepancies, induced by adiabatic cycles are referred to as the exotic quantum holonomy, which is an extension of the geometric phase. \Small” adiabatic cycles induce no change on eigenspaces, whereas some \large” adiabatic cycles interchange eigenspaces. We explain the topological formulation for the eigenspace anholonomy, where the homotopy equivalence precisely distinguishes the larger cycles from smaller ones. An application to two level systems is explained. We also examine the cycles that involve the adiabatic evolution across an exact crossing, and the diabatic evolution across an avoided crossing. The latter is a nonadiabatic example of the exotic quantum holonomy.
Keywords: exotic quantum holonomy, homotopy, disclination.
PACS 03.65.-w,03.65.Vf,02.40.Pc
DOI 10.17586/2220-8054-2015-6-6-786-792
Very interesting info!Perfect just what I was searching for!Raise blog range
Wow, this post has given me useful info and answered some of my questions. I hope to give something back and aid others like you helped me. Feel free to surf my website QN5 about Airport Transfer.
Thank you, I’ve recently been searching for info about this subject for ages and yours is the best I’ve discovered till now. But, what about the conclusion? Are you sure about the source?
Amazing Content! If you need some details about about Cosmetics than have a look here 48U
pin-up kazino: pin-up oyunu – pin-up oyunu
https://pinupaz.bid/# pin up azerbaijan pin up casino
https://semaglutide.win/# cheap Rybelsus 14 mg
https://gabapentin.auction/# neurontin 2018
https://stromectol.agency/# buy stromectol canada
https://zithromax.company/# zithromax for sale 500 mg
https://amoxil.llc/# amoxil generic
https://amoxil.llc/# rexall pharmacy amoxicillin 500mg buy zithromax canada
brand neurontin 100 mg canada: cheapest gabapentin – neurontin price uk
https://semaglutide.win/# Rybelsus 7mg
http://semaglutide.win/# buy semaglutide online
https://amoxil.llc/# generic for amoxicillin
http://zithromax.company/# can you buy zithromax over the counter in mexico
https://zithromax.company/# buy generic zithromax online
http://zithromax.company/# zithromax 250 price
http://zithromax.company/# where can i buy zithromax capsules
buy zithromax: buy zithromax z-pak online – zithromax over the counter uk
https://semaglutide.win/# order Rybelsus for weight loss
purple pharmacy mexico price list: mexican drugstore online – pharmacies in mexico that ship to usa
do i have ed: erection problems – erectile dysfunction drugs
pain meds without written prescription: what type of medicine is prescribed for allergies – buy prescription drugs from canada cheap
drug prices comparison: ed symptoms – ed medications online
pharmacy website india: cheapest online pharmacy india – online pharmacy india
It is a pleasure to read this weblog, thanks to its up-to-date information and interesting posts. Look into my web page YH6 for some really good points and find out more about Airport Transfer.
https://stromectol1st.shop/# minocycline 50 mg para que sirve erectile dysfunction medicines
http://rybelsus.icu/# semaglutide best erectile dysfunction pills
https://rybelsus.icu/# cheaper erection problems
order Rybelsus rybelsus.icu or buy rybelsus https://images.google.by/url?q=https://rybelsus.icu rybelsus price order Rybelsus order Rybelsus and rybelsus generic rybelsus cost
http://paxlovid1st.shop/# paxlovid generic natural remedies for ed
rybelsus cost cheaper or buy semaglutide online https://www.google.fm/url?sa=t&url=https://rybelsus.icu buy rybelsus more order Rybelsus and rybelsus price rybelsus cost
http://paxlovid1st.shop/# paxlovid pill best ed pill
http://clopidogrel.pro/# Plavix generic price cheap ed medication
http://rybelsus.icu/# rybelsus.icu ed pills that work quickly
Buy semaglutide rybelsus price or Semaglutide pharmacy price https://maps.google.gm/url?q=https://rybelsus.icu good price rybelsus.icu cheaper and rybelsus.icu rybelsus
пин ап казино: пинап – пин ап
canl? casino: casino sitesi – slot casino siteleri
пин ап вход: пин ап – пин ап зеркало
1xbet официальный сайт 1xbet скачать or 1хбет http://www.camping-channel.eu/surf.php3?id=2973&url=http://1winrussia.online 1хставка 1xbet скачать 1xbet and 1xbet скачать 1хбет
пин ап казино: пин ап казино вход – пинап кз
pin up: пин ап казино вход – пин ап кз
пинап казино: pin up – пинап
1xbet скачать 1xbet зеркало or 1xbet скачать https://images.google.co.ck/url?sa=t&url=https://1winrussia.online 1хставка 1xbet 1xbet and 1xbet скачать 1хставка
pin up azerbaycan: pin up casino – pin-up casino giris
1хставка: 1xbet официальный сайт – 1xbet официальный сайт
buying prescription drugs in mexico online: mexico drug stores pharmacies – mexican rx online
Have you ever considered about including a little bit more than just your articles? I mean, what you say is valuable and all. But think about if you added some great pictures or video clips to give your posts more, “pop”! Your content is excellent but with images and videos, this blog could certainly be one of the very best in its niche. Excellent blog!
best drugs for erectile dysfunction: pain medications without a prescription – viagra without a doctor prescription
mexican rx online: mexican rx online – medication from mexico pharmacy
india pharmacy reputable indian online pharmacy or Online medicine home delivery http://ooshnovosel.ru/bitrix/redirect.php?event1=&event2=&event3=&goto=https://indianpharm1st.com/ india online pharmacy top 10 online pharmacy in india online shopping pharmacy india and indian pharmacies safe reputable indian pharmacies
buy medicines online in india: indian pharmacy online – Online medicine order
best online pharmacies in mexico: buying from online mexican pharmacy – mexico pharmacies prescription drugs
cheapest online pharmacy india buy medicines online in india or best online pharmacy india http://rxsystems.co.uk/redirect.php?u=https://indianpharm1st.com indian pharmacies safe reputable indian online pharmacy best india pharmacy and Online medicine order world pharmacy india
india online pharmacy: cheapest online pharmacy india – reputable indian online pharmacy
mexico drug stores pharmacies: mexican border pharmacies shipping to usa – mexican mail order pharmacies
п»їlegitimate online pharmacies india п»їlegitimate online pharmacies india or top 10 online pharmacy in india https://clients1.google.sc/url?q=https://indianpharm1st.com reputable indian pharmacies top 10 pharmacies in india п»їlegitimate online pharmacies india and india pharmacy mail order best india pharmacy
how to get prescription drugs without doctor: pump for ed – viagra without a doctor prescription
buying prescription drugs in mexico: mexico drug stores pharmacies – buying prescription drugs in mexico online
sweetbonanzatr.pro: sweetbonanzatr.pro – sweetbonanzatr.pro
пинап казино: пин ап – пин ап зеркало
pinup az: pin up 306 – pin up casino
пин ап 634: пин ап 634 – пин ап 634
Официальный Сайт: пинап казино – Пин Ап Казино Официальный Сайт в России
пин ап вход бонусы пин ап or пинко http://www.google.co.ls/url?q=http://pinupzerkalo.fun пинап казино Официальный Сайт пин ап казино and Пин Ап Казино Официальный Сайт в России pinco
pinup-az bid: pinup az – pin up 306
pin-up: pinup – pin up
pinup bet and casino pin up casino or pinup bet and casino http://marcina.net/info.php?a=genericcialis pin up zerkalo pin up casino pin up casino and pin up zerkalo pin up win
semaglutide: rybelsus price – Urgent Specialists
rybelsus price rybelsus price or Rybelsus https://images.google.jo/url?q=https://semaglutide.ink Urgent Specialists Regenerative Medicine Specialists and Specialists Specialists
stromectol online: stromectol – stromectol online
find bets price: stromectol – stromectol online
Rybelsus Specialists or Specialists http://www.high-pasture-cave.org/index.php?URL=semaglutide.ink/ semaglutide Regenerative Medicine Regenerative Medicine and rybelsus price semaglutide
stromectol store: cheapest – stromectol store
stromectol online: stromectol online – stromectol best price
Patient Portal Rybelsus or Regenerative Medicine http://www.otohits.net/home/redirectto?url=https://semaglutide.ink Urgent Specialists Patient Portal semaglutide and Regenerative Medicine Regenerative Medicine
find bets price: stromectol online – find bets price
ed medications online cheap drugs erectile dysfunction
the canadian drugstore cheap meds top ed drugs
medication from mexico pharmacy mexican pharm 24 purple pharmacy mexico price list
п»їlegitimate online pharmacies india Online medicine home delivery or india pharmacy mail order http://toolbarqueries.google.com.vn/url?sa=i&url=https://indianpharm24.pro india pharmacy india pharmacy top 10 online pharmacy in india and online pharmacy india indian pharmacy
mexican pharmaceuticals online Legit online Mexican pharmacy mexican mail order pharmacies
best pills for ed low cost prescription best ed pills
best online pharmacy india indian pharmacy paypal or reputable indian pharmacies https://images.google.com.af/url?q=https://indianpharm24.pro pharmacy website india top 10 online pharmacy in india reputable indian online pharmacy and buy medicines online in india indian pharmacy paypal
drug medication buy drugs best medicine for ed
pharmacies in mexico that ship to usa mexican pharm 24 mexico drug stores pharmacies
mail order pharmacy india buy medicines online in india or Online medicine order https://images.google.kg/url?q=https://indianpharm24.pro india pharmacy pharmacy website india indian pharmacy online and reputable indian pharmacies indian pharmacy paypal
mexico pharmacies prescription drugs mexico pharmacy cheap medicine in mexico pharmacies
india pharmacy Indian pharmacy online indian pharmacy
buy medicines online in india india pharmacy or india online pharmacy http://maps.google.dz/url?q=http://indianpharm24.pro reputable indian pharmacies best india pharmacy cheapest online pharmacy india and best india pharmacy Online medicine home delivery
deneme bonusu veren siteler denemebonusu2026.com http://denemebonusuverensiteler.top/# deneme bonusu veren siteler
deneme bonusu veren siteler 2024 https://matadorbet.bid/# matadorbet
deneme bonusu veren siteler yerliarama.org deneme bonusu veren siteler mycbet.com or deneme bonusu veren yeni siteler https://www.google.gp/url?q=https://denemebonusuverensiteler.top deneme bonusu veren siteler 2024 deneme bonusu veren siteler denemebonusu2026.com deneme bonusu veren yeni siteler and deneme bonusu veren siteler denemebonusu2026.com deneme bonusu veren siteler 2024
deneme bonusu veren siteler yeni https://matadorbet.bid/# matadorbet
deneme bonusu veren siteler yeni https://casinositeleri.win/# Casino Siteleri
rybpharm rybelsus buy rybelsus rybpharm or buy rybelsus rybpharm http://odokon.org/w3a/redirect.php?redirect=http://rybpharm.com/ rybpharm cheap semaglutide rybpharm rybelsus buy rybelsus canada and rybpharm rybelsus buy rybelsus online usa
furosemide furpharm.com: cheapest lasix – furosemide fur pharm
Good day! I know this is kind of off topic but I was wondering which blog platform are you using for this site? I’m getting fed up of WordPress because I’ve had issues with hackers and I’m looking at options for another platform. I would be great if you could point me in the direction of a good platform.
https://mexicanpharmgate.com/# mexican pharmaceuticals online
http://indianpharmacyeasy.com/# india online pharmacy
https://canadiandrugsgate.com/# ed dysfunction
medicine in mexico pharmacies mexican mail order pharmacies or pharmacies in mexico that ship to usa https://forum.questionablequesting.com/proxy.php?link=https://mexicanpharmgate.com medicine in mexico pharmacies mexican pharmaceuticals online purple pharmacy mexico price list and purple pharmacy mexico price list п»їbest mexican online pharmacies
http://mexicanpharmgate.com/# mexico drug stores pharmacies
https://canadiandrugsgate.com/# natural remedies for ed problems
mexican online pharmacies prescription drugs mexican pharmaceuticals online or medicine in mexico pharmacies https://www.google.mv/url?q=https://mexicanpharmgate.com mexican online pharmacies prescription drugs mexican mail order pharmacies medication from mexico pharmacy and mexican online pharmacies prescription drugs reputable mexican pharmacies online
natural ed http://canadiandrugsgate.com/# best ed pills online cheap drugs
I’ve read several good stuff here. Definitely value bookmarking for revisiting. I surprise how so much attempt you place to create the sort of great informative site.
where to buy amoxicillin pharmacy http://clomidrexpharm.com/# can you buy generic clomid without insurance
Merely wanna remark on few general things, The website style and design is perfect, the subject matter is real excellent. “The idea of God is the sole wrong for which I cannot forgive mankind.” by Marquis de Sade.
amoxicillin 500 mg tablet price http://amoxilcompharm.com/# generic amoxicillin 500mg
A powerful share, I simply given this onto a colleague who was doing a bit analysis on this. And he in reality purchased me breakfast because I discovered it for him.. smile. So let me reword that: Thnx for the deal with! However yeah Thnkx for spending the time to debate this, I really feel strongly about it and love studying extra on this topic. If possible, as you turn into experience, would you mind updating your blog with more particulars? It’s extremely helpful for me. Big thumb up for this weblog publish!
amoxicillin generic brand http://priligymaxpharm.com/# priligy max pharm
generic prednisone pills generic over the counter prednisone or prednisone 20 mg in india http://www.revistasgratis.ws/externo.php?url=https://prednisoneraypharm.com/ 1 mg prednisone daily prednisone uk price prednisone 20mg tab price and no prescription online prednisone prednisone 5 mg tablet cost
A formidable share, I simply given this onto a colleague who was doing just a little evaluation on this. And he in truth purchased me breakfast as a result of I discovered it for him.. smile. So let me reword that: Thnx for the treat! However yeah Thnkx for spending the time to debate this, I really feel strongly about it and love studying more on this topic. If possible, as you change into expertise, would you mind updating your blog with extra particulars? It is highly useful for me. Massive thumb up for this blog put up!
cost of prednisone in canada prednisone canada or prednisone tablets https://maps.google.vg/url?q=https://prednisoneraypharm.com prednisone 4 mg daily generic prednisone pills prednisone online australia and prednisone drug costs steroids prednisone for sale
Very interesting subject, thanks for putting up. “All human beings should try to learn before they die what they are running from, and to, and why.” by James Thurber.
Hey, you used to write magnificent, but the last few posts have been kinda boringK I miss your super writings. Past several posts are just a little out of track! come on!
Thank you for helping out, superb info. “The health of nations is more important than the wealth of nations.” by Will Durant.
I will immediately grasp your rss as I can not to find your e-mail subscription link or e-newsletter service. Do you have any? Please permit me recognise in order that I may just subscribe. Thanks.
Lipozem is a weight loss supplement marketed for its potential to support fat burning, appetite control, and energy levels.
Im now not sure where you’re getting your information, however good topic. I needs to spend a while learning more or understanding more. Thank you for wonderful info I used to be searching for this info for my mission.
Hello! I just would like to give a huge thumbs up for the great info you have here on this post. I will be coming back to your blog for more soon.