Pub Date : 2020-02-11DOI: 10.1142/S1230161220500043
Revanth Badveli, V. Jagadish, S. Akshaya, R. Srikanth, Francesco Petruccione
The entanglement dynamics in a bipartite system consisting of a qubit and a harmonic oscillator interacting only through their coupling with the same bath is studied. The considered model assumes that the qubit is coupled to the bath via the Jaynes-Cummings interaction, whilst the position of the oscillator is coupled to the position of the bath via a dipole interaction. We give a microscopic derivation of the Gorini–Kossakowski–Sudarshan–Lindblad equation for the considered model. Based on the Kossakowski matrix, we show that non-classical correlations including entanglement can be generated by the considered dynamics. We then analytically identify specific initial states for which entanglement is generated. This result is also supported by our numerical simulations.
{"title":"Dynamics of Quantum Correlations in a Qubit-Oscillator System Interacting via a Dissipative Bath","authors":"Revanth Badveli, V. Jagadish, S. Akshaya, R. Srikanth, Francesco Petruccione","doi":"10.1142/S1230161220500043","DOIUrl":"https://doi.org/10.1142/S1230161220500043","url":null,"abstract":"The entanglement dynamics in a bipartite system consisting of a qubit and a harmonic oscillator interacting only through their coupling with the same bath is studied. The considered model assumes that the qubit is coupled to the bath via the Jaynes-Cummings interaction, whilst the position of the oscillator is coupled to the position of the bath via a dipole interaction. We give a microscopic derivation of the Gorini–Kossakowski–Sudarshan–Lindblad equation for the considered model. Based on the Kossakowski matrix, we show that non-classical correlations including entanglement can be generated by the considered dynamics. We then analytically identify specific initial states for which entanglement is generated. This result is also supported by our numerical simulations.","PeriodicalId":54681,"journal":{"name":"Open Systems & Information Dynamics","volume":"6 1","pages":"2050004:1-2050004:16"},"PeriodicalIF":0.8,"publicationDate":"2020-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75629308","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-01-01DOI: 10.1142/s123016122050016x
D. Chruściński, F. Mukhamedov, M. Hajji
We analyze Kadison-Schwarz approximation to positive maps in matrix algebras. This is an analogue of the well known structural physical approximation to positive maps used in entanglement theory. We study several known maps both decomposable (like transposition) and non-decomposable (like Choi map and its generalizations).
{"title":"On Kadison-Schwarz Approximation to Positive Maps","authors":"D. Chruściński, F. Mukhamedov, M. Hajji","doi":"10.1142/s123016122050016x","DOIUrl":"https://doi.org/10.1142/s123016122050016x","url":null,"abstract":"We analyze Kadison-Schwarz approximation to positive maps in matrix algebras. This is an analogue of the well known structural physical approximation to positive maps used in entanglement theory. We study several known maps both decomposable (like transposition) and non-decomposable (like Choi map and its generalizations).","PeriodicalId":54681,"journal":{"name":"Open Systems & Information Dynamics","volume":"17 1","pages":"2050016:1-2050016:13"},"PeriodicalIF":0.8,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74657752","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-01-01DOI: 10.1142/S1230161220500183
L. Accardi, J. C. García-Corte, F. Guerrero-Poblete, R. Quezada
The similarity principle is an extension of the principle of thermal relaxation that naturally arises in the stochastic limit of quantum theory. We construct examples of Low Density Limit (LDL) generators, associated to an environment state in equilibrium at inverse temperature β, which admit non-(β, HS)-equilibrium states. We prove that in some cases, the attraction domain of the (β, HS)-equilibrium state is empty. This means that the similarity principle, in its original thermodynamical formulation, can be broken in the LDL limit. This result is obtained as a consequence of a more general phenomenon: the role of degeneracies in the spectrum of the Liouvillian of the system Hamiltonian associated to the generator. We start from the definition of LDL type generators given in [5] and we introduce a finer classification of these generators based on the above degeneracies. The simplest subclass, called 2-generic, is a nontrivial extension of the generators associated to the so-called Λ and V configurations, widely used in quantum optics and involving 2 levels of the system Hamiltonian. Since each 2-generic block involves 3 or 4 levels of the system Hamiltonian we expect that they can reveal some interesting new physical phenomenon, as it happened in the 2-level case. In the last section, we restrict our attention to a 3-level system with a Hamiltonian that is associated to a class of 2-generic LDL generators. Finally, we prove that, for some LDL generators in this class the statement formulated at the beginning holds true.
{"title":"Breaking of the Similarity Principle in Markov Generators of Low Density Limit Type and the Role of Degeneracies in the Landscape of Invariant States","authors":"L. Accardi, J. C. García-Corte, F. Guerrero-Poblete, R. Quezada","doi":"10.1142/S1230161220500183","DOIUrl":"https://doi.org/10.1142/S1230161220500183","url":null,"abstract":"The similarity principle is an extension of the principle of thermal relaxation that naturally arises in the stochastic limit of quantum theory. We construct examples of Low Density Limit (LDL) generators, associated to an environment state in equilibrium at inverse temperature β, which admit non-(β, HS)-equilibrium states. We prove that in some cases, the attraction domain of the (β, HS)-equilibrium state is empty. This means that the similarity principle, in its original thermodynamical formulation, can be broken in the LDL limit. This result is obtained as a consequence of a more general phenomenon: the role of degeneracies in the spectrum of the Liouvillian of the system Hamiltonian associated to the generator. We start from the definition of LDL type generators given in [5] and we introduce a finer classification of these generators based on the above degeneracies. The simplest subclass, called 2-generic, is a nontrivial extension of the generators associated to the so-called Λ and V configurations, widely used in quantum optics and involving 2 levels of the system Hamiltonian. Since each 2-generic block involves 3 or 4 levels of the system Hamiltonian we expect that they can reveal some interesting new physical phenomenon, as it happened in the 2-level case. In the last section, we restrict our attention to a 3-level system with a Hamiltonian that is associated to a class of 2-generic LDL generators. Finally, we prove that, for some LDL generators in this class the statement formulated at the beginning holds true.","PeriodicalId":54681,"journal":{"name":"Open Systems & Information Dynamics","volume":"188 1","pages":"2050018:1-2050018:40"},"PeriodicalIF":0.8,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79395335","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-12-01DOI: 10.1142/s1230161219500215
L. Accardi, F. Guerrero-Poblete
We investigate the structure of quantum Markov generators that describe the reduced dynamics of a test particle interacting with a dilute Bose gas in the low density limit. These generators, called...
{"title":"Quantum Markov Semigroups of Low Density Limit: the Generic Case","authors":"L. Accardi, F. Guerrero-Poblete","doi":"10.1142/s1230161219500215","DOIUrl":"https://doi.org/10.1142/s1230161219500215","url":null,"abstract":"We investigate the structure of quantum Markov generators that describe the reduced dynamics of a test particle interacting with a dilute Bose gas in the low density limit. These generators, called...","PeriodicalId":54681,"journal":{"name":"Open Systems & Information Dynamics","volume":"51 1","pages":"1950021:1-1950021:30"},"PeriodicalIF":0.8,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75146361","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-12-01DOI: 10.1142/s1230161219500227
César A. Rodríguez-Rosario, T. Frauenheim, A. Aspuru‐Guzik
Here we demonstrate how the interplay between quantum coherences and a decoherence bath, such as one given by continuos quantum measurements, lead to new kinds of thermodynamic potentials and flows...
{"title":"Quantum Coherences as a Thermodynamic Potential","authors":"César A. Rodríguez-Rosario, T. Frauenheim, A. Aspuru‐Guzik","doi":"10.1142/s1230161219500227","DOIUrl":"https://doi.org/10.1142/s1230161219500227","url":null,"abstract":"Here we demonstrate how the interplay between quantum coherences and a decoherence bath, such as one given by continuos quantum measurements, lead to new kinds of thermodynamic potentials and flows...","PeriodicalId":54681,"journal":{"name":"Open Systems & Information Dynamics","volume":"85 1","pages":"1950022:1-1950022:19"},"PeriodicalIF":0.8,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78545039","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-12-01DOI: 10.1142/s1230161219500203
F. Benatti
We review the Gorini, Kossakowski, Sudarshan derivation of the generator of a completely positive norm-continuous semigroup when the constituent maps act on density matrices according to the Hadama...
{"title":"Hadamard Completely Positive Semigroups","authors":"F. Benatti","doi":"10.1142/s1230161219500203","DOIUrl":"https://doi.org/10.1142/s1230161219500203","url":null,"abstract":"We review the Gorini, Kossakowski, Sudarshan derivation of the generator of a completely positive norm-continuous semigroup when the constituent maps act on density matrices according to the Hadama...","PeriodicalId":54681,"journal":{"name":"Open Systems & Information Dynamics","volume":"30 1","pages":"1950020:1-1950020:9"},"PeriodicalIF":0.8,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77390041","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-12-01DOI: 10.1142/s1230161219500239
S. Lorenzo, M. Paternostro, G. Palma
Quantum non-Markovianity and quantum Darwinism are two phenomena linked by a common theme: the flux of quantum information between a quantum system and the quantum environment it interacts with. In this work, making use of a quantum collision model, a formalism initiated by Sudarshan and his school, we will analyse the efficiency with which the information about a single qubit gained by a quantum harmonic oscillator, acting as a meter, is transferred to a bosonic environment. We will show how, in some regimes, such quantum information flux is inefficient, leading to the simultaneous emergence of non-Markovian and non-darwinistic behaviours.
{"title":"Reading a Qubit Quantum State with a Quantum Meter: Time Unfolding of Quantum Darwinism and Quantum Information Flux","authors":"S. Lorenzo, M. Paternostro, G. Palma","doi":"10.1142/s1230161219500239","DOIUrl":"https://doi.org/10.1142/s1230161219500239","url":null,"abstract":"Quantum non-Markovianity and quantum Darwinism are two phenomena linked by a common theme: the flux of quantum information between a quantum system and the quantum environment it interacts with. In this work, making use of a quantum collision model, a formalism initiated by Sudarshan and his school, we will analyse the efficiency with which the information about a single qubit gained by a quantum harmonic oscillator, acting as a meter, is transferred to a bosonic environment. We will show how, in some regimes, such quantum information flux is inefficient, leading to the simultaneous emergence of non-Markovian and non-darwinistic behaviours.","PeriodicalId":54681,"journal":{"name":"Open Systems & Information Dynamics","volume":"37 1","pages":"1950023:1-1950023:13"},"PeriodicalIF":0.8,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81399331","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-12-01DOI: 10.1142/s1230161219990014
{"title":"Index Vol. 26 (2019)","authors":"","doi":"10.1142/s1230161219990014","DOIUrl":"https://doi.org/10.1142/s1230161219990014","url":null,"abstract":"","PeriodicalId":54681,"journal":{"name":"Open Systems & Information Dynamics","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45835681","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-12-01DOI: 10.1142/s1230161219500197
D. Chruściński, A. Kossakowski
A new condition for dynamical maps with time independent invariant state displaying Heisenberg divisibility is provided. This condition is trivially satisfied for a Markovian semigroup. However, be...
{"title":"Divisibility of Dynamical Maps with Time Independent Invariant State","authors":"D. Chruściński, A. Kossakowski","doi":"10.1142/s1230161219500197","DOIUrl":"https://doi.org/10.1142/s1230161219500197","url":null,"abstract":"A new condition for dynamical maps with time independent invariant state displaying Heisenberg divisibility is provided. This condition is trivially satisfied for a Markovian semigroup. However, be...","PeriodicalId":54681,"journal":{"name":"Open Systems & Information Dynamics","volume":"51 1","pages":"1950019:1-1950019:19"},"PeriodicalIF":0.8,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88724209","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-10-24DOI: 10.1142/s1230161219500161
M. Man'ko, V. Man'ko
The superposition of pure quantum states explicitly expressed in terms of a nonlinear addition rule of state density operators is reviewed. The probability representation of density matrices of qudit states is used to formulate the interference of the states as a combination of the probability distributions describing pure states. The formalism of quantizer–dequantizer operators is developed. Examples of spin-1/2 states and f-oscillator systems are considered.
{"title":"Interference of Quantum States and Superposition Principle in Probability Representation of Quantum Mechanics","authors":"M. Man'ko, V. Man'ko","doi":"10.1142/s1230161219500161","DOIUrl":"https://doi.org/10.1142/s1230161219500161","url":null,"abstract":"The superposition of pure quantum states explicitly expressed in terms of a nonlinear addition rule of state density operators is reviewed. The probability representation of density matrices of qudit states is used to formulate the interference of the states as a combination of the probability distributions describing pure states. The formalism of quantizer–dequantizer operators is developed. Examples of spin-1/2 states and f-oscillator systems are considered.","PeriodicalId":54681,"journal":{"name":"Open Systems & Information Dynamics","volume":"3 1","pages":"1950016:1-1950016:13"},"PeriodicalIF":0.8,"publicationDate":"2019-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89744605","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","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：