arXiv: Quantum Physics最新文献_第2页

The anti-Jaynes-Cummings model is solvable : quantum Rabi model in rotating and counter-rotating frames ; following the experiments 反jaynes - cummings模型是可解的:在旋转和反旋转坐标系中的量子Rabi模型;在实验之后

arXiv: Quantum Physics Pub Date : 2021-03-17 DOI: 10.21203/RS.3.RS-379917/V1

Joseph Omolo

{"title":"The anti-Jaynes-Cummings model is solvable : quantum Rabi model in rotating and counter-rotating frames ; following the experiments","authors":"Joseph Omolo","doi":"10.21203/RS.3.RS-379917/V1","DOIUrl":"https://doi.org/10.21203/RS.3.RS-379917/V1","url":null,"abstract":"\u0000 This article is a response to the continued assumption, cited even in reports and reviews of recent experimental breakthroughs and advances in theoretical methods, that the antiJaynes-Cummings (AJC)interaction is an intractable energy non-conserving component of the quantum Rabi model (QRM). We present three key features of QRM dynamics : (a) the AJC interaction component has a conserved excitation number operator and is exactly solvable (b) QRM dynamical space consists of a rotating frame (RF) dominated by an exactly solved Jaynes-Cummings (JC) interaction specied by a conserved JC excitation number operator which generates the U(1) symmetry of RF and a correlated counter-rotating frame (CRF) dominated by an exactly solved antiJaynes-Cummings (AJC) interaction specied by a conserved AJC excitation number operator which generates the U(1) symmetry of CRF (c) for QRM dynamical evolution in RF, the initial atom-eld state je0i is an eigenstate of the effective AJC Hamiltonian HAJC, while the effective JC Hamiltonian HJC drives this initial state je0i into a time evolving entangled state, and, in a corresponding process for QRM dynamical evolution in CRF, the initial atom-eld state jg0i is an eigenstate of the effective JC Hamiltonian, while the effective AJC Hamiltonian drives this initial state jg0i into a time evolving entangled state, thus addressing one of the long-standing challenges of theoretical and experimental QRM dynamics; consistent generalizations of the initial states je0i , jg0i to corresponding n 0 entangled eigenstates j+en i , j 􀀀g ni of the AJC in RF and JC in CRF, respectively, provides general dynamical evolution of QRM characterized by collapses and revivals in the time evolution of the atomic, eld mode, JC and AJC excitation numbers for large initial photon numbers ; the JC and AJC excitation numbers are conserved in the respective frames RF, CRF, but each evolves with time in the alternate frame.","PeriodicalId":8484,"journal":{"name":"arXiv: Quantum Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89489392","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}

引用次数: 2

Second law of thermodynamics for quantum correlations 量子相关的热力学第二定律

arXiv: Quantum Physics Pub Date : 2021-02-26 DOI: 10.13016/M2RSDW-ZGPS

Akram Touil, B. cCakmak, Sebastian Deffner

引用次数: 4

Optimal implementation of two-qubit linear-optical quantum filters 双量子位线性光学量子滤波器的优化实现

arXiv: Quantum Physics Pub Date : 2021-02-26 DOI: 10.1103/PhysRevA.103.062408

J. Fiurášek, Robert Stárek, M. Mičuda

引用次数: 1

Invariant quadratic operator associated with Linear Canonical Transformations 与线性正则变换相关的不变二次算子

arXiv: Quantum Physics Pub Date : 2021-02-01 DOI: 10.21203/RS.3.RS-174871/V1

Ravo Tokiniaina Ranaivoson, R. Andriambololona, Rakotoson Hanitriarivo

{"title":"Invariant quadratic operator associated with Linear Canonical Transformations","authors":"Ravo Tokiniaina Ranaivoson, R. Andriambololona, Rakotoson Hanitriarivo","doi":"10.21203/RS.3.RS-174871/V1","DOIUrl":"https://doi.org/10.21203/RS.3.RS-174871/V1","url":null,"abstract":"The main purpose of this work is to identify the general quadratic operator which is invariant under the action of Linear Canonical Transformations (LCTs). LCTs are known in signal processing and optics as the transformations which generalize certain useful integral transforms. In quantum theory, they can be identified as the linear transformations which keep invariant the canonical commutation relations characterizing the coordinates and momenta operators. In this paper, LCTs corresponding to a general pseudo-Euclidian space are considered. Explicit calculations are performed for the monodimensional case to identify the corresponding LCT invariant operator then multidimensional generalizations of the obtained results are deduced. It was noticed that the introduction of a variance-covariance matrix, of coordinate and momenta operators, and a pseudo-orthogonal representation of LCTs facilitate the identification of the invariant quadratic operator. According to the calculations carried out, the LCT invariant operator is a second order polynomial of the coordinates and momenta operators. The coefficients of this polynomial depend on the mean values and the statistical variances-covariances of these coordinates and momenta operators themselves. The eigenstates of the LCT invariant operator are also identified with it and some of the main possible applications of the obtained results are discussed.","PeriodicalId":8484,"journal":{"name":"arXiv: Quantum Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90025062","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}

引用次数: 0

Diagonalization of the Hamiltonian for finite-sized dispersive media: Canonical quantization with numerical mode decomposition 有限尺寸色散介质哈密顿量的对角化:正则量化与数值模态分解

arXiv: Quantum Physics Pub Date : 2021-01-28 DOI: 10.1103/PhysRevA.103.063707

D. Na, Jie Zhu, W. Chew

引用次数: 11

Making Mistakes Saves the Single World of the Extended Wigner’s Friend Experiment 犯错拯救了扩展维格纳朋友实验的单一世界

arXiv: Quantum Physics Pub Date : 2021-01-27 DOI: 10.21203/RS.3.RS-149814/V1

S. Łukaszyk

引用次数: 0

On the mean value of the force operator for 1D particles in the step potential. 一维粒子在阶跃势中力算子的平均值。

arXiv: Quantum Physics Pub Date : 2021-01-17 DOI: 10.1590/1806-9126-rbef-2020-0422

S. Vincenzo

引用次数: 1

Topological input-output theory for directional amplification 定向放大的拓扑输入输出理论

arXiv: Quantum Physics Pub Date : 2020-12-17 DOI: 10.1103/PHYSREVA.103.033513

T. Ramos, J. Garc'ia-Ripoll, D. Porras

{"title":"Topological input-output theory for directional amplification","authors":"T. Ramos, J. Garc'ia-Ripoll, D. Porras","doi":"10.1103/PHYSREVA.103.033513","DOIUrl":"https://doi.org/10.1103/PHYSREVA.103.033513","url":null,"abstract":"We present a topological approach to the input-output relations of photonic driven-dissipative lattices acting as directional amplifiers. Our theory relies on a mapping from the optical non-Hermitian coupling matrix to an effective topological insulator Hamiltonian. This mapping is based on the singular value decomposition of non-Hermitian coupling matrices, whose inverse matrix determines the linear input-output response of the system. In topologically non-trivial regimes, the input-output response of the lattice is dominated by singular vectors with zero singular values that are the equivalent of zero-energy states in topological insulators, leading to directional amplification of a coherent input signal. In such topological amplification regime, our theoretical framework allows us to fully characterize the amplification properties of the quantum device such as gain, bandwidth, added noise, and noise-to-signal ratio. We exemplify our ideas in a one-dimensional non-reciprocal photonic lattice, for which we derive fully analytical predictions. We show that the directional amplification is near quantum-limited with a gain growing exponentially with system size, $N$, while the noise-to-signal ratio is suppressed as $1/sqrt{N}$. This points out to interesting applications of our theory for quantum signal amplification and single-photon detection.","PeriodicalId":8484,"journal":{"name":"arXiv: Quantum Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90704153","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}

引用次数: 11

Self-consistency of the two-point energy measurement protocol 两点能量测量方案的自一致性

arXiv: Quantum Physics Pub Date : 2020-12-17 DOI: 10.1103/PHYSREVA.103.042214

M. Mohammady

引用次数: 1

Adiabatic sensing technique for optimal temperature estimation using trapped ions 利用俘获离子估算最佳温度的绝热传感技术

arXiv: Quantum Physics Pub Date : 2020-12-16 DOI: 10.1103/PHYSREVRESEARCH.3.013244

Aleksandrina V. Kirkova, Weibin Li, P. Ivanov

引用次数: 6