Loewner's theorem on monotone matrix functions,by Barry Simon,Grundlehren der mathematischen Wissenschaften,Vol.354,Springer Nature Switzerland,2019,xi+459 pp.,ISBN 978-3-030-22421-9,978-3-030-22422-6(ebook)1.历...Loewner's theorem on monotone matrix functions,by Barry Simon,Grundlehren der mathematischen Wissenschaften,Vol.354,Springer Nature Switzerland,2019,xi+459 pp.,ISBN 978-3-030-22421-9,978-3-030-22422-6(ebook)1.历史如果A是一个自伴矩阵,或更一般地,是任何维的一个Hilbert(希尔伯特)空间上的一个自伴算子,我们说它是正的(positive),并且写为A≥0,如果对所有向量v有(Au,v)≥0;这等价于其谱δ(A)位于[0,∞)中.展开更多
In this paper, we analytically solve the master equation for Jaynes-Cummings model in the dispersive regime including phase damping and the field is assumed to be initially in a superposition of coherent states. Using...In this paper, we analytically solve the master equation for Jaynes-Cummings model in the dispersive regime including phase damping and the field is assumed to be initially in a superposition of coherent states. Using an established entanglement measure based on the negativity of the eigenvalues of the partially transposed density matrix we find a very strong sensitivity of the maximally generated entanglement to the amount of phase damping. Qualitatively this behavior is also reflected in alternative entanglement measures, but the quantitative agreement between different measures depends on the chosen noise model The phase decoherence for this model results in monotonic increase in the total entropy while the atomic sub-entropy keeps its periodic behaviour without any effect.展开更多
文摘Loewner's theorem on monotone matrix functions,by Barry Simon,Grundlehren der mathematischen Wissenschaften,Vol.354,Springer Nature Switzerland,2019,xi+459 pp.,ISBN 978-3-030-22421-9,978-3-030-22422-6(ebook)1.历史如果A是一个自伴矩阵,或更一般地,是任何维的一个Hilbert(希尔伯特)空间上的一个自伴算子,我们说它是正的(positive),并且写为A≥0,如果对所有向量v有(Au,v)≥0;这等价于其谱δ(A)位于[0,∞)中.
文摘In this paper, we analytically solve the master equation for Jaynes-Cummings model in the dispersive regime including phase damping and the field is assumed to be initially in a superposition of coherent states. Using an established entanglement measure based on the negativity of the eigenvalues of the partially transposed density matrix we find a very strong sensitivity of the maximally generated entanglement to the amount of phase damping. Qualitatively this behavior is also reflected in alternative entanglement measures, but the quantitative agreement between different measures depends on the chosen noise model The phase decoherence for this model results in monotonic increase in the total entropy while the atomic sub-entropy keeps its periodic behaviour without any effect.
