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We study squeezed quantum states of phonons, which allow the possibility of modulating the quantum fluctuations of atomic displacements below the zero-point quantum noise level of coherent phonon states. We calculate the corresponding…

Condensed Matter · Physics 2009-10-28 X. Hu , Franco Nori

This article discusses quantum fluctuation properties of a crystal lattice, and in particular, phonon squeezed states. Squeezed states of phonons allow a reduction in the quantum fluctuations of the atomic displacements to below the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Xuedong Hu , Franco Nori

We study squeezed states of phonons, which allow a reduction in the quantum fluctuations of the atomic displacements to below the zero-point quantum noise level of coherent phonon states. We investigate the generation of squeezed phonon…

Condensed Matter · Physics 2009-10-30 X. Hu , Franco Nori

A pair of conjugate observables, such as the quadrature amplitudes of harmonic motion, have fundamental fluctuations which are bound by the Heisenberg uncertainty relation. However, in a squeezed quantum state, fluctuations of a quantity…

Mesoscale and Nanoscale Physics · Physics 2015-12-16 J. -M. Pirkkalainen , E. Damskägg , M. Brandt , F. Massel , M. A. Sillanpää

We provide a framework for understanding recent experiments on squeezing of a collective atomic pseudo-spin, induced by a homodyne measurement on off-resonant probe light interrogating the atoms. The detection of light decimates the atomic…

This chapter is devoted to the recent theoretical results on the optical quantum control over charges confined in quantum dots under influence of phonons. We show that lattice relaxation processes lead to decoherence of the confined carrier…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Anna Grodecka , Lucjan Jacak , Pawel Machnikowski , Katarzyna Roszak

Fluctuations of the atomic positions are at the core of a large class of unusual material properties ranging from quantum para-electricity to high temperature superconductivity. Their measurement in solids is the subject of an intense…

The study of the fundamental properties of phonons is crucial to understand their role in applica- tions in quantum information science, where the active use of phonons is currently highly debated. A genuine quantum phenomenon associated…

Mesoscale and Nanoscale Physics · Physics 2018-09-27 Daniel Wigger , Helge Gehring , V. Martin Axt , Doris E. Reiter , Tilmann Kuhn

Coherently displaced harmonic oscillator number states of a harmonically bound ion can be coupled to two internal states of the ion by a laser-induced motional sideband interaction. The internal states can subsequently be read out in a…

The Morse potential quantum system is a realistic model for studying vibrations of atoms in a diatomic molecule. This system is very close to the harmonic oscillator one. We thus propose a construction of squeezed coherent states similar to…

Mathematical Physics · Physics 2010-10-19 M. Angelova , V. Hussin

Impulsive optical excitation can generate both coherent and squeezed phonons. The expectation value of the phonon displacement $<u_q>$ oscillates at the mode frequency for the coherent state but remains zero for a pure squeezed state. In…

Materials Science · Physics 2016-07-27 T. Henighan , M. Trigo , M. Chollet , J. N. Clark , S. Fahy , J. M. Glownia , M. P. Jiang , M. Kozina , H. Liu , S. Song , D. Zhu , D. A. Reis

We have numerically solved the Heisenberg-Langevin equations describing the propagation of quantized fields through an optically thick sample of atoms. Two orthogonal polarization components are considered for the field and the complete…

Quantum Physics · Physics 2009-11-13 A. Lezama , P. Valente , H. Failache , M. Martinelli , P. Nussenzveig

Squeezed states of the harmonic oscillator are a common resource in applications of quantum technology. If the noise is suppressed in a nonlinear combination of quadrature operators below threshold for all possible up-to-quadratic…

Quantum Physics · Physics 2023-06-13 Vojtěch Kala , Petr Marek , Radim Filip

We study theoretically the fluctuation properties of acoustic phonons created in a semiconductor quantum dot after ultrafast optical excitation. An excitation with a single ultrafast pulse creates an exciton confined to the quantum dot,…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 D. Wigger , D. E. Reiter , V. M. Axt , T. Kuhn

As a result of the quantum, wave-like nature of the physical world, a harmonic oscillator can never be completely at rest. Even in the quantum ground state, its position will always have fluctuations, called the zero-point motion. Although…

Quantum Physics · Physics 2016-01-21 E. E. Wollman , C. U. Lei , A. J. Weinstein , J. Suh , A. Kronwald , F. Marquardt , A. A. Clerk , K. C. Schwab

Quantum harmonic oscillators are central to many modern quantum technologies. We introduce a method to determine the frequency noise spectrum of oscillator modes through coupling them to a qubit with continuously driven…

The coherent states that describe the classical motion of a mechanical oscillator do not have well-defined energy, but are rather quantum superpositions of equally-spaced energy eigenstates. Revealing this quantized structure is only…

Within the frame of quantized dark-state polaritons in electromagnetically-induced-transparency media, noise fluctuations in the quadrature components are studied. Squeezed state transfer, quantum correlation, and noise entanglement between…

Quantum Physics · Physics 2023-07-19 You-Lin Chuang , Ite A. Yu , Ray-Kuang Lee

The Morse potential one-dimensional quantum system is a realistic model for studying vibrations of atoms in a diatomic molecule. This system is very close to the harmonic oscillator one. We thus propose a construction of squeezed coherent…

Mathematical Physics · Physics 2015-06-03 M. Angelova , A. Hertz , V. Hussin

Quantum sensing and quantum information processing use quantum advantages such as squeezed states that encode a quantity of interest with higher precision and generate quantum correlations to outperform classical methods. In harmonic…

Quantum Physics · Physics 2021-10-28 Mingjie Xin , Wui Seng Leong , Zilong Chen , Yu Wang , Shau-Yu Lan
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