Kraus Operator-Sum Representation and Time Evolution of Distribution Functions in Phase-Sensitive Reservoirs

Hu, Li-Yun; Wang, Qi; Xu, Xue-Xiang

doi:10.1007/s10773-011-0911-y

Cited by 12 publications

(4 citation statements)

References 32 publications

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“…Here, we construct the tomogram of the dissipative harmonic oscillator evolving under a Lindbladian evolution, in a phase sensitive reservoir [342]. It would be pertinent to mention that tomographic reconstruction of Gaussian states evolving under a Markovian evolution has also been considered in [317].…”

Section: Optical Tomogram For a Dissipative Harmonic Oscillatormentioning

confidence: 99%

A theoretical study of nonclassical effects in optical and spin systems and their applications

Thapliyal

2018

Preprint

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LIST OF PUBLICATIONS DURING Ph.D. THESIS WORK 231viii PREFACE AND ACKNOWLEDGMENT two systems enter into temporary physical interaction due to known forces between them, and when after a time of mutual influence the systems separate again, then they can no longer be described in the same way as before."This may/may not be the most important feat in my life, but is certainly so far. Therefore, I would like to take this opportunity to thank everyone who had influenced my life and had played a significant role in it. To begin with, my grandfather, whose words, "I know you will make me proud", reverberate through my mind in my lamest moments to elate me.Today I feel that all my teachers, who lit my path allowing me to tread firmly through darkness, have their contributions in this work. I will thank especially my very first teacher, my sister Jyoti Di, for her patience during my initial inscriptions. I am also indebted to Dr. B.V. Tripathi and Dr. Hemwati Nandan for introducing me to the research field, which I feel has given me both peace of mind and reason of life.I am also grateful to all my bosom buddies Tarun, Pankaj, Shashi Bhushan, Pawan, and the one who is undergoing the same evolution as mine, Ravi, which helped both of us to vent out our frustrations. My roommates Rachit and Neeraj to endure a researcher roomie with an abnormal life and behavior for more than four years and still not to complain.Needless to say, my parents and family for the love and affection showered upon me, believing in me, and always understanding when I was not there for them.At the end, I will extend my gratitude to each and every person who shared his experiences to enlighten me in different phases of my life. Due to which I consider this my responsibility to dedicate the present piece of work to the light within all of us, part of which had emancipated me. May this work on light impart some light to light within us. I would also like to acknowledge the financial assistances I received in different phases of my research work from DST, JIIT, DRDO, and CSIR without which this work would not have been possible. TPSC for commending me as category A speaker, which provided me an opportunity to visit TPSC centers and present my work.

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Section: Optical Tomogram For a Dissipative Harmonic Oscillatormentioning

confidence: 99%

A theoretical study of nonclassical effects in optical and spin systems and their applications

Thapliyal

2018

Preprint

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“…Further, in [77] the density matrix, state tomogram and Wigner function of a parametric oscillator were studied. Here, we construct the tomogram of the dissipative harmonic oscillator evolving under a Lindbladian evolution, in a phase sensitive reservoir [78]. It would be pertinent to mention that tomographic reconstruction of Gaussian states evolving under a Markovian evolution has also been considered in [34].…”

Section: Optical Tomogram For a Dissipative Harmonic Oscillatormentioning

confidence: 99%

Tomograms for open quantum systems: In(finite) dimensional optical and spin systems

2016

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Tomograms are obtained as probability distributions and are used to reconstruct a quantum state from experimentally measured values. We study the evolution of tomograms for different quantum systems, both finite and infinite dimensional. In realistic experimental conditions, quantum states are exposed to the ambient environment and hence subject to effects like decoherence and dissipation, which are dealt with here, consistently, using the formalism of open quantum systems. This is extremely relevant from the perspective of experimental implementation and issues related to state reconstruction in quantum computation and communication. These considerations are also expected to affect the quasiprobability distribution obtained from experimentally generated tomograms and nonclassicality observed from them.

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“…2 is required. In [31], we derived the Kraus operator-sum representation of density operator ρ and the time evolution of some distribution functions by using the thermally entangled state representation 〈η|. The evolution of the Wigner function is given by .…”

Section: Decoherence Of the Hps-sv In Phase-sensitive Reservoirsmentioning

confidence: 99%

Nonclassical properties of Hermite polynomial excitation on squeezed vacuum and its decoherence in phase-sensitive reservoirs

Liu

et al. 2015

Laser Phys. Lett.

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We introduce Hermite polynomial excitation squeezed vacuum (SV) Hn(Ô)S (r) |0 withÔ = µa + νa † . We investigate analytically the nonclassical properties according to Mandel's Q parameter, second correlation function, squeezing effect and the negativity of Wigner function (WF). It is found that all these nonclassicalities can be enhanced by Hn(Ô)operation and adjustable parameters µand ν. In particular, the optimal negative volume δoptof WF can be achieved by modulating µand ν for n 2,while δ is kept unchanged for n = 1. Furthermore, the decoherence effect of phase-sensitive enviornment on this state is examined. It is shown that δ with bigger ndiminishes more quickly than that with lower n, which indicates that single-photon subtraction SV presents more roboustness. Parameter M of reservoirs can be effectively used to improve the nonclassicality.

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Kraus Operator-Sum Representation and Time Evolution of Distribution Functions in Phase-Sensitive Reservoirs

Cited by 12 publications

References 32 publications

A theoretical study of nonclassical effects in optical and spin systems and their applications

A theoretical study of nonclassical effects in optical and spin systems and their applications

Tomograms for open quantum systems: In(finite) dimensional optical and spin systems

Nonclassical properties of Hermite polynomial excitation on squeezed vacuum and its decoherence in phase-sensitive reservoirs

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