Pub Date : 2007-09-01DOI: 10.2478/V10005-007-0018-7
V. Dodonov
I discuss applications of the Bogoliubov transformations in the theory of photon creation from vacuum in cavities with moving walls (the nonstationary Casimir eect), their relations to the phenomenon of squeezing and some generalizations of these transformations to the case of coupled Fermi{Bose systems with quadratic Hamiltonians.
{"title":"Bogoliubov Transformations for Fermi—Bose Systems and Squeezed States Generation in Cavities with Oscillating Walls","authors":"V. Dodonov","doi":"10.2478/V10005-007-0018-7","DOIUrl":"https://doi.org/10.2478/V10005-007-0018-7","url":null,"abstract":"I discuss applications of the Bogoliubov transformations in the theory of photon creation from vacuum in cavities with moving walls (the nonstationary Casimir eect), their relations to the phenomenon of squeezing and some generalizations of these transformations to the case of coupled Fermi{Bose systems with quadratic Hamiltonians.","PeriodicalId":249199,"journal":{"name":"Old and New Concepts of Physics","volume":"155 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2007-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123772846","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2007-09-01DOI: 10.2478/V10005-007-0022-Y
M. Tosi
The paper of N. Bogoliubov [J. Phys. USSR 11, 23 (1947)] has opened the way to understanding coherent quantum manybody systems. I briey
[J]。理论物理。苏联11,23(1947)]开辟了理解相干量子多体系统的道路。我briey
{"title":"QUANTUM MECHANICS AT WORK","authors":"M. Tosi","doi":"10.2478/V10005-007-0022-Y","DOIUrl":"https://doi.org/10.2478/V10005-007-0022-Y","url":null,"abstract":"The paper of N. Bogoliubov [J. Phys. USSR 11, 23 (1947)] has opened the way to understanding coherent quantum manybody systems. I briey","PeriodicalId":249199,"journal":{"name":"Old and New Concepts of Physics","volume":"267 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2007-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133780650","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2007-09-01DOI: 10.2478/V10005-007-0021-Z
S. Sevinçli, M. O. Oktel, B. Tanatar
We consider an ultracold plasma composed of the same number of electrons and bosonic ions, at zero temperature. We calculate the ion and electron densities taking the long range interactions into account using a modied Thomas-Fermi ap- proximation. We assume that ions are trapped by harmonic trap while electrons are only trapped by the ion cloud. For a cloud that contains 10 4 electrons and 10 4 ions conned
{"title":"A SIMPLE MODEL FOR AN ULTRACOLD PLASMA","authors":"S. Sevinçli, M. O. Oktel, B. Tanatar","doi":"10.2478/V10005-007-0021-Z","DOIUrl":"https://doi.org/10.2478/V10005-007-0021-Z","url":null,"abstract":"We consider an ultracold plasma composed of the same number of electrons and bosonic ions, at zero temperature. We calculate the ion and electron densities taking the long range interactions into account using a modied Thomas-Fermi ap- proximation. We assume that ions are trapped by harmonic trap while electrons are only trapped by the ion cloud. For a cloud that contains 10 4 electrons and 10 4 ions conned","PeriodicalId":249199,"journal":{"name":"Old and New Concepts of Physics","volume":"236 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2007-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123257495","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2007-09-01DOI: 10.2478/V10005-007-0015-X
N. Bogolubov, A. Prykarpatsky
The analytic aspects of the Bogoliubov generating functional equations and their transformation properties within the Bogoliubov canonical transformation method are studied. The classical Bogoliubov idea [2] to use the Wigner density operator transformation for studying the non equilibrium distribution functions within the Bogoliubov canonical transformation method is developed, a new analytic non-stationary solution to the classical N.N. Bogoliubov evolution functional equation is constructed.
{"title":"THE ANALYTIC ASPECTS OF THE BOGOLIUBOV GENERATING FUNCTIONAL EQUATIONS WITHIN THE BOBOLIUBOV CANONICAL TRANSFORMATION METHOD","authors":"N. Bogolubov, A. Prykarpatsky","doi":"10.2478/V10005-007-0015-X","DOIUrl":"https://doi.org/10.2478/V10005-007-0015-X","url":null,"abstract":"The analytic aspects of the Bogoliubov generating functional equations and their transformation properties within the Bogoliubov canonical transformation method are studied. The classical Bogoliubov idea [2] to use the Wigner density operator transformation for studying the non equilibrium distribution functions within the Bogoliubov canonical transformation method is developed, a new analytic non-stationary solution to the classical N.N. Bogoliubov evolution functional equation is constructed.","PeriodicalId":249199,"journal":{"name":"Old and New Concepts of Physics","volume":"63 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2007-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124200363","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2007-09-01DOI: 10.2478/V10005-007-0016-9
N. Bogolubov, A. Shumovsky
We show that the Bogoliubov microscopic theory of superuidity of liquid 4 He allows quantum uctuations of both condensate and excitations. Comparison of those uctuations leads to an equation determining the mean number of atoms with zero momentum in a self-consistent way. Obtained results are in good agreement with the experiments on Bose-Einstein condensation in atomic beams. To explain experimental results on low amount of atoms in condensate in the superuid phase of liquid 4 He, we propose to consider the ground state of the condensate as a squeezed number state and discuss some corollaries coming from this conjecture.
{"title":"TO WHAT EXTENT THE SUPERFLUID 4 He IS SQUEEZED","authors":"N. Bogolubov, A. Shumovsky","doi":"10.2478/V10005-007-0016-9","DOIUrl":"https://doi.org/10.2478/V10005-007-0016-9","url":null,"abstract":"We show that the Bogoliubov microscopic theory of superuidity of liquid 4 He allows quantum uctuations of both condensate and excitations. Comparison of those uctuations leads to an equation determining the mean number of atoms with zero momentum in a self-consistent way. Obtained results are in good agreement with the experiments on Bose-Einstein condensation in atomic beams. To explain experimental results on low amount of atoms in condensate in the superuid phase of liquid 4 He, we propose to consider the ground state of the condensate as a squeezed number state and discuss some corollaries coming from this conjecture.","PeriodicalId":249199,"journal":{"name":"Old and New Concepts of Physics","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2007-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127824105","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2007-09-01DOI: 10.2478/V10005-007-0020-0
B. Oztop, A. Klyachko, A. Shumovsky
We show correspondence between the notions of spin squeez- ing and spin entanglement. We propose a new measure of spin squeezing. We consider a number of physical examples.
我们证明了自旋压缩和自旋纠缠之间的对应关系。提出了一种新的自旋压缩测度。我们考虑一些实际的例子。
{"title":"SQUEEZED AND ENTANGLED STATES OF A SINGLE SPIN","authors":"B. Oztop, A. Klyachko, A. Shumovsky","doi":"10.2478/V10005-007-0020-0","DOIUrl":"https://doi.org/10.2478/V10005-007-0020-0","url":null,"abstract":"We show correspondence between the notions of spin squeez- ing and spin entanglement. We propose a new measure of spin squeezing. We consider a number of physical examples.","PeriodicalId":249199,"journal":{"name":"Old and New Concepts of Physics","volume":"156 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2007-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122688252","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2007-09-01DOI: 10.2478/V10005-007-0014-Y
T. Birol, Ö. E. Müstecaplioglu
In this brief review, we discuss quantum decoherence of an atomic Bose-Einstein condensate using Bogoliubov transformation. In particular, condensate phase is introduced and its diusion is studied. Validity of the Bogoliubov prescription is investigated and restored via the condensate phase. Role of quantum state of the condensate on the phase collapse is examined. Relation between the uctuations in the condensate particle number and the dynamics of the condensate phase is claried.
{"title":"BOGOLIUBOV TRANSFORMATIONS AND QUANTUM DECOHERENCE IN AN ATOMIC BOSE-EINSTEIN CONDENSATE","authors":"T. Birol, Ö. E. Müstecaplioglu","doi":"10.2478/V10005-007-0014-Y","DOIUrl":"https://doi.org/10.2478/V10005-007-0014-Y","url":null,"abstract":"In this brief review, we discuss quantum decoherence of an atomic Bose-Einstein condensate using Bogoliubov transformation. In particular, condensate phase is introduced and its diusion is studied. Validity of the Bogoliubov prescription is investigated and restored via the condensate phase. Role of quantum state of the condensate on the phase collapse is examined. Relation between the uctuations in the condensate particle number and the dynamics of the condensate phase is claried.","PeriodicalId":249199,"journal":{"name":"Old and New Concepts of Physics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2007-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130474606","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2007-09-01DOI: 10.2478/V10005-007-0017-8
P. Caban, K. Podlaski, J. Rembielinski, K. A. Smolinski, Z. Walczak
We show that Bogoliubov transformations, widely used in quantum field theory, can be also useful in quantum information theory. Namely, we show that the problem of the choice of tensor product decomposition in the system of two fermions can be analysed with the help of Bogoliubov transformations of creation and annihilation operators.
{"title":"BOGOLIUBOV TRANSFORMATIONS AND ENTANGLEMENT OF TWO FERMIONS","authors":"P. Caban, K. Podlaski, J. Rembielinski, K. A. Smolinski, Z. Walczak","doi":"10.2478/V10005-007-0017-8","DOIUrl":"https://doi.org/10.2478/V10005-007-0017-8","url":null,"abstract":"We show that Bogoliubov transformations, widely used in quantum field theory, can be also useful in quantum information theory. Namely, we show that the problem of the choice of tensor product decomposition in the system of two fermions can be analysed with the help of Bogoliubov transformations of creation and annihilation operators.","PeriodicalId":249199,"journal":{"name":"Old and New Concepts of Physics","volume":"126 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2007-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132519026","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2007-09-01DOI: 10.2478/v10005-007-0019-6
O. Man'ko, V. Man'ko
Bogoliubov transforms are discussed in some problems of quantum optics. Squeezed and rotated quadrature of an ion in a Paul trap is discussed in connection with reconstructing its quantum state using symplectic-tomography method. Symplectic and photon-number tomograms of the quadrature for squeezed and correlated states, for nonlinear coherent states and for odd/even coherent states of a trapped ion which are tomographic symbols of density operators of the states are reviewed.
{"title":"Bogoliubov Transform and Tomography of Nonclassical States of Trapped Ion","authors":"O. Man'ko, V. Man'ko","doi":"10.2478/v10005-007-0019-6","DOIUrl":"https://doi.org/10.2478/v10005-007-0019-6","url":null,"abstract":"Bogoliubov transforms are discussed in some problems of quantum optics. Squeezed and rotated quadrature of an ion in a Paul trap is discussed in connection with reconstructing its quantum state using symplectic-tomography method. Symplectic and photon-number tomograms of the quadrature for squeezed and correlated states, for nonlinear coherent states and for odd/even coherent states of a trapped ion which are tomographic symbols of density operators of the states are reviewed.","PeriodicalId":249199,"journal":{"name":"Old and New Concepts of Physics","volume":"150 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2007-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125772645","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2007-06-01DOI: 10.2478/V10005-007-0010-2
Z. Jacyna‐Onyszkiewicz
An interpretation of the quantum theory is proposed, allowing an explanation of the origins of the theory principles and its mathematical formalism. In contrast to the hitherto interpretations it is based on the ontology assuming existence of omniscience. The interpretation proposed explains ‐ in consistence with the relativity theory ‐ the results of the correlation experiments implying that an unobserved elementary particle does not exist objectively (beyond our consciousness) or that a quantum system makes o non-divisive unity bound through non-spacetime interactions. According to this interpretation, both these possibilities occur simultaneously.
{"title":"The Ontology of Quantum Theory","authors":"Z. Jacyna‐Onyszkiewicz","doi":"10.2478/V10005-007-0010-2","DOIUrl":"https://doi.org/10.2478/V10005-007-0010-2","url":null,"abstract":"An interpretation of the quantum theory is proposed, allowing an explanation of the origins of the theory principles and its mathematical formalism. In contrast to the hitherto interpretations it is based on the ontology assuming existence of omniscience. The interpretation proposed explains ‐ in consistence with the relativity theory ‐ the results of the correlation experiments implying that an unobserved elementary particle does not exist objectively (beyond our consciousness) or that a quantum system makes o non-divisive unity bound through non-spacetime interactions. According to this interpretation, both these possibilities occur simultaneously.","PeriodicalId":249199,"journal":{"name":"Old and New Concepts of Physics","volume":"32 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2007-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130968731","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：