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We investigate the exact dynamics of the damped quantum harmonic oscillator under the (un)correlated initial conditions. The master equation is generalized to the cases of the arbitrary factorized state and/or Gaussian state. We show that…

量子物理 · 物理学 2013-12-06 Yang Gao , Qing Bin Tang , Ru Min Wang

In this chapter we treat the quantum damped harmonic oscillator, and study mathematical structure of the model, and construct general solution with any initial condition, and give a quantum counterpart in the case of taking coherent state…

量子物理 · 物理学 2012-09-10 Kazuyuki Fujii

The evolution of the Schr\"{o}dinger-cat states in a dissipative parametric amplifier is examined. The main tool in the analysis is the normally ordered characteristic function. Squeezing, photon-number distribution and reduced factorial…

量子物理 · 物理学 2015-05-30 Faisal A. A. El-Orany , J. Perina , V. Perinova , and M. Sebawe Abdalla

This article explains and illustrates the use of a set of coupled dynamical equations, second order in a fictitious time, which converges to solutions of stationary Schr\"{o}dinger equations with additional constraints. We include three…

计算物理 · 物理学 2020-10-21 M. Ogren , M. Gulliksson

We propose a new approach to the quantization of the damped harmonic oscillator in the framework of deformation quantization. The quantization is performed in the Schr\"{o}dinger picture by a star-product induced by a modified "Poisson…

量子物理 · 物理学 2009-11-11 Giuseppe Dito , Francisco Turrubiates

A Schr\"odinger-cat state is a coherent superposition of macroscopically distinguishable quantum states, in quantum optics usually realized as superposition of coherent states. Protocols to prepare photonic cats have been presented for…

介观与纳米尺度物理 · 物理学 2021-05-12 M. Cosacchi , T. Seidelmann , J. Wiercinski , M. Cygorek , A. Vagov , D. E. Reiter , V. M. Axt

In quantum optics, photonic Schr\"odinger cats are superpositions of two coherent states with opposite phases and with a significant number of photons. Recently, these states have been observed in the transient dynamics of…

量子物理 · 物理学 2016-06-03 F. Minganti , N. Bartolo , J. Lolli , W. Casteels , C. Ciuti

We study a qubit-oscillator system, with a time-dependent coupling coefficient, and present a scheme for generating entangled Schr\"odinger-cat states with large mean photon numbers and also a scheme that protects the cat states against…

量子物理 · 物理学 2019-01-23 Z. Xiao , T. Fuse , S. Ashhab , F. Yoshihara , K. Semba , M. Sasaki , M. Takeoka , J. P. Dowling

Based on a simple observation that a classical second order differential equation may be decomposed into a set of two first order equations, we introduce a Hamiltonian framework to quantize the damped systems. In particular, we analyze the…

高能物理 - 理论 · 物理学 2015-06-26 Chihong Chou

We discuss general properties of the equilibrium state of parametric down-conversion in superconducting quantum circuits with detunings and Kerr anharmonicities, in the strongly nonlinear regime. By comparing moments of the steady state and…

量子物理 · 物理学 2019-09-24 Feng-Xiao Sun , Qiongyi He , Qihuang Gong , Run Yan Teh , Margaret D. Reid , Peter D. Drummond

We analyze a method for the creation, storage and retrieval of optomechanical Schrodinger cat states, in which there is a quantum superposition of two distinct macroscopic states of a mechanical oscillator. In the proposal, an optical cat…

量子物理 · 物理学 2018-12-12 R. Y. Teh , S. Kiesewetter , P. D. Drummond , M. D. Reid

Quantum superpositions of distinct coherent states in a single-mode harmonic oscillator, known as "cat states", have been an elegant demonstration of Schrodinger's famous cat paradox. Here, we realize a two-mode cat state of electromagnetic…

Linear superpositions of macroscopically distinct quantum states (sometimes also called Schr\"odinger cat states) are usually almost immediately reduced to a statistical mixture if exposed to the dephasing influence of a dissipative…

量子物理 · 物理学 2007-05-23 Daniel Braun , Petr A. Braun , Fritz Haake

We consider the generation of Schr{\"o}dinger cat states using a quantum measurement-induced logical gate where entanglement between the input state of the target oscillator and the Fock state of the ancillary system produced by the quantum…

量子物理 · 物理学 2025-07-16 N. G. Veselkova , Roman Goncharov , Alexei D. Kiselev

We propose a scheme to generate macroscopic Schr\"odinger-cat states in a quantum harmonic oscillator (electromagnetic field or mechanical resonator) coupled to a quantum bit (two-level system) via a conditional displacement mechanism. By…

量子物理 · 物理学 2016-03-29 Jie-Qiao Liao , Jin-Feng Huang , Lin Tian

In this paper we construct the coherent and trajectory-coherent states of a damped harmonic oscillator. We investigate the properties of this states.

量子物理 · 物理学 2008-02-03 A. G. Karavayev , Yu. O. Budayev

In the preceding paper (arXiv : 0710.2724 [quant-ph]) we have constructed the general solution for the master equation of quantum damped harmonic oscillator, which is given by the complicated infinite series in the operator algebra level.…

量子物理 · 物理学 2015-05-13 Kazuyuki Fujii , Tatsuo Suzuki

We propose a nanodevice based on a typical planar semiconductor heterostructure with lateral confinement potential created by voltages applied to local electrodes. We show how to obtain near parabolical confinement along the nanodevice, and…

介观与纳米尺度物理 · 物理学 2017-10-06 J. Pawłowski , M. Górski , G. Skowron , S. Bednarek

Schr\"odinger cat states play an important role for applications in continuous variable quantum information technologies. As macroscopic superpositions they are inherently protected against certain types of noise making cat qubits a…

量子物理 · 物理学 2025-10-28 Miriam Resch , Ciprian Padurariu , Björn Kubala , Joachim Ankerhold

Mesoscopic quantum superpositions, or Schr\"odinger cat states, are widely studied for fundamental investigations of quantum measurement and decoherence as well as applications in sensing and quantum information science. The generation and…

量子物理 · 物理学 2017-07-04 K. G. Johnson , J. D. Wong-Campos , B. Neyenhuis , J. Mizrahi , C. Monroe
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