if (rel == "true") { // $(this).removeAttr("onclick"); // $(this).attr("href","#"); // //$(this).bind('click', function() { SetNumTwo(59749)}); // var url = "../userInformation/PDFLogin.aspx"; // var refererrurl = document.referrer; // var downloadurl = window.location.href; // var args = "PaperID=" + 59749 + "&RefererUrl=" + refererrurl + "&DownloadUrl=" + downloadurl; // url = url + "?" + args + "&rand=" + RndNum(4); // // $(this).bind('click', function() { ShowTwo(url)}); // } // }); // } // //获取下载pdf注册的cookie // function getcookie() { // var cookieName = "pdfddcookie"; // var cookieValue = null; //返回cookie的value值 // if (document.cookie != null && document.cookie != '') { // var cookies = document.cookie.split(';'); //将获得的所有cookie切割成数组 // for (var i = 0; i < cookies.length; i++) { // var cookie = cookies[i]; //得到某下标的cookies数组 // if (cookie.substring(0, cookieName.length + 2).trim() == cookieName.trim() + "=") {//如果存在该cookie的话就将cookie的值拿出来 // cookieValue = cookie.substring(cookieName.length + 2, cookie.length); // break // } // } // } // if (cookieValue != "" && cookieValue != null) {//如果存在指定的cookie值 // return false; // } // else { // // return true; // } // } // function ShowTwo(webUrl){ // alert("22"); // $.funkyUI({url:webUrl,css:{width:"600",height:"500"}}); // } //window.onload = pdfdownloadjudge;
JMP> Vol.6 No.11, September 2015
Share This Article:
Cite This Paper >>

Quantum Entanglement in Coupled Lossy Waveguides Using SU(2) and SU(1, 1) Thermo-Algebras

Abstract Full-Text HTML XML Download Download as PDF (Size:1909KB) PP. 1554-1571
DOI: 10.4236/jmp.2015.611158    3,237 Downloads   3,627 Views  
Author(s)    Leave a comment
Naveen Kumar Mogurampally1*, K. V. S. Shiv Chaitanya2, Bindu A. Bambah1

Affiliation(s)

1School of Physics, University of Hyderabad, Hyderabad, India.
2Department of Physics, BITS-Pilani, Hyderabad Campus, Hyderabad, India.

ABSTRACT

In this paper, the master equation for the coupled lossy waveguides is solved using the thermofield dynamics (TFD) formalism. This formalism allows the use of the underlying symmetry algebras SU(2) and SU(1, 1), associated with the Hamiltonian of the coupled lossy waveguides, to compute entanglement and decoherence as a function of time for various input states such as NOON states and thermal states.

KEYWORDS

Coupled Waveguides, Thermofield Dynamics, Master Equation, Lie Algebras, Entanglement, Decoherence

Cite this paper

Mogurampally, N. , Chaitanya, K. and Bambah, B. (2015) Quantum Entanglement in Coupled Lossy Waveguides Using SU(2) and SU(1, 1) Thermo-Algebras. Journal of Modern Physics, 6, 1554-1571. doi: 10.4236/jmp.2015.611158.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] Christodoulides, D.N., Lederer, F. and Silberberg, Y. (2003) Nature (London), 424, 817-823.
http://dx.doi.org/10.1038/nature01936
[2] Longhi, S. (2009) Physical Review A, 79, Article ID: 023811.
[3] Longhi, S. (2009) Laser and Photonic Review, 3, 243-261.
http://dx.doi.org/10.1002/lpor.200810055
[4] Rai, A., Das, S. and Agarwal, G.S. (2010) Optics Express, 18, 6241-6254.
http://dx.doi.org/10.1364/OE.18.006241
[5] Politi, A., Cryan, M.J., Rarity, J.G., Yu, S. and O’Brien, J.L. (2008) Science, 320, 646-649.
http://dx.doi.org/10.1126/science.1155441
[6] Rozema, L.A., Bateman, J.D., Mahler, D.H., et al. (2014) Physical Review Letters, 112, Article ID: 223602(5).
[7] Zurek, W.H. (2003) Reviews of Modern Physics, 75, 715-775.
http://dx.doi.org/10.1103/RevModPhys.75.715
[8] Umezawa, H., Matsumoto, H. and Tachiki, M. (1982) Thermofield Dynamics and Condenced States. North-Holland Publishing Company, Amsterdam.
[9] Laplae, L., Mancini, F. and Umezawa, H. (1974) Physical Review C, 10, 151.
[10] Takahashi, Y. and Umezawa, H. (1975) Collective Phenomenon, 2, 55-80.
[11] Ojima, I. (1981) Annals of Physics, 137, 1-32.
http://dx.doi.org/10.1016/0003-4916(81)90058-0
[12] Umezawa, H. (1993) Equilibrium and Non-Equilibrium Thermal Physics. Proceedings of the 3rd Workshop on Thermofield Theories and Their Applications, Banff, World Scientific, Singapore.
[13] Chaturvedi, S. and Srinivasan, V. (1991) Journal of Modern Optics, 38, 777-783.
http://dx.doi.org/10.1080/09500349114550761
[14] Chaturvedi, S. and Srinivasan, V. (1991) Physical Review A, 43, 4054-4057.
http://dx.doi.org/10.1103/PhysRevA.43.4054
[15] Shanta, P., Chaturvedi, S., Srinivasan, V. and Kapoor, A.K. (1996) International Journal of Modern Physics B, 10, 1573-1584.
http://dx.doi.org/10.1142/S0217979296000672
[16] Shanta, P., Chaturvedi, S. and Srinivasan, V. (1986) Modern Physics Letters A, 11, 2381-2396.
[17] Chaturvedi, S., Srinivasan, V. and Agarwal, G.S. (1999) Journal of Physics A: Mathematical and General, 32, 1909-1926.
http://dx.doi.org/10.1088/0305-4470/32/10/009
[18] Perelomov, A. (1986) Generalized Coherent States and Their Applications. Springer-Verlag, Berlin.
http://dx.doi.org/10.1007/978-3-642-61629-7
[19] Fujii, K. (2002) Introduction to Coherent States and Quantum Information Theory.
http://arxiv.org/abs/quant-ph/0112090
[20] Agarwal, G.S. and Biswas, A. (2005) Journal of Optics B: Quantum Semiclassical Optics, 7, 350-354.
http://dx.doi.org/10.1088/1464-4266/7/11/006
[21] Vidal, G. and Werner, R.F. (2002) Physical Review A, 65, Article ID: 032314.
http://arxiv.org/abs/quant-ph/0102117
[22] Hong, C.K., Ou, Z.Y. and Mandel, L. (1987) Physical Review Letters, 59, 2044-2046.
http://dx.doi.org/10.1103/PhysRevLett.59.2044
[23] Afek, I., Ambar, O. and Silberberg, Y. (2010) Science, 328, 879-881.
http://dx.doi.org/10.1126/science.1188172
[24] Simon, R. (2000) Physical Review Letters, 84, 2726-2729.
http://dx.doi.org/10.1103/PhysRevLett.84.2726
[25] Hashizume, Y. and Suzuki, M. (2013) Physica A: Statistical Mechanics and Its Applications, 392, 3518-3530.

  
comments powered by Disqus
JMP Subscription
E-Mail Alert
JMP Most popular papers
Publication Ethics & OA Statement
JMP News
Frequently Asked Questions
Recommend to Peers
Recommend to Library
Contact Us

Copyright © 2020 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.