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Squeezed mechanical states are a highly coveted resource for quantum-enhanced sensing and serve as a compelling platform for probing the interplay between gravity and quantum mechanics. It has been predicted that a mechanical oscillator can…

We review here the quantum mechanics of some noncommutative theories in which no state saturates simultaneously all the non trivial Heisenberg uncertainty relations. We show how the difference of structure between the Poisson brackets and…

High Energy Physics - Theory · Physics 2009-11-10 Musongela Lubo

We establish some of the properties of the states interpolating between number and coherent states denoted by $| n >_{\lambda}$; among them are the reproducing of these states by the action of an operator-valued function on $| n>$ (the…

Mathematical Physics · Physics 2007-05-23 R. Roknizadeh , M. K. Tavassoly

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…

We propose a displacement-operator approach to some aspects of squeezed states for general multiphoton systems. The explicit displacement-operators of the squeezed vacuum and the coherent states are achieved and expresses as the ordinary…

Quantum Physics · Physics 2008-02-03 Hong-Chen Fu , Ryu Sasaki

It is desirable to observe synchronization of quantum systems in the quantum regime, defined by low number of excitations and a highly non-classical steady state of the self-sustained oscillator. Several existing proposals of observing…

We analyze squeezing of the nanoresonator state produced by periodic measurement of position by a quantum point contact or a single-electron transistor. The mechanism of squeezing is the stroboscopic quantum nondemolition measurement…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Rusko Ruskov , Keith Schwab , Alexander N. Korotkov

We revisit quantum state preparation of an oscillator by continuous linear position measurement. Quite general analytical expressions are derived for the conditioned state of the oscillator. Remarkably, we predict that quantum squeezing is…

Quantum Physics · Physics 2020-07-29 Chao Meng , George A. Brawley , James S. Bennett , Michael R. Vanner , Warwick P. Bowen

We generalize the wave functions of the displaced and squeezed number states, found by Nieto, to a time-dependent harmonic oscillator with variable mass and frequency. These time-dependent displaced and squeezed number states are obtained…

Quantum Physics · Physics 2007-05-23 Sang Pyo Kim

State preparation via postselected weak measurement in three wave mixing process is studied. Assuming the signal input mode prepared in a vacuum state, coherent state or squeezed vacuum state, separately, while the idler input prepared in…

Quantum Physics · Physics 2022-02-16 Qiang Hu , Taximaiti Yusufu , Yusuf Turek

Gravitational Wave interferometers achieve their profound sensitivity by combining a Michelson interferometer with optical cavities, suspended masses, and now, squeezed quantum states of light. These states modify the measurement process of…

Instrumentation and Detectors · Physics 2021-09-22 L. McCuller , S. E. Dwyer , A. C. Green , Haocun Yu , L. Barsotti , C. D. Blair , D. D. Brown , A. Effler , M. Evans , A. Fernandez-Galiana , P. Fritschel , V. V. Frolov , N. Kijbunchoo , G. L. Mansell , F. Matichard , N. Mavalvala , D. E. McClelland , T. McRae , A. Mullavey , D. Sigg , B. J. J. Slagmolen , M. Tse , T. Vo , R. L. Ward , C. Whittle , R. Abbott , C. Adams , R. X. Adhikari , A. Ananyeva , S. Appert , K. Arai , J. S. Areeda , Y. Asali , 0 S. M. Aston , C. Austin , A. M. Baer , M. Ball , S. W. Ballmer , S. Banagiri , D. Barker , J. Bartlett , B. K. Berger , J. Betzwieser , D. Bhattacharjee , G. Billingsley , S. Biscans , R. M. Blair , N. Bode , P. Booker , R. Bork , A. Bramley , A. F. Brooks , A. Buikema , C. Cahillane , K. C. Cannon , X. Chen , 0 A. A. Ciobanu , F. Clara , C. M. Compton , S. J. Cooper , K. R. Corley , 0 S. T. Countryman , 0 P. B. Covas , D. C. Coyne , L. E. H. Datrier , D. Davis , C. Di Fronzo , K. L. Dooley , J. C. Driggers , T. Etzel , T. M. Evans , J. Feicht , P. Fulda , M. Fyffe , J. A. Giaime , K. D. Giardina , P. Godwin , E. Goetz , S. Gras , C. Gray , R. Gray , E. K. Gustafson , R. Gustafson , J. Hanks , J. Hanson , T. Hardwick , R. K. Hasskew , M. C. Heintze , A. F. Helmling-Cornell , N. A. Holland , J. D. Jones , S. Kandhasamy , S. Karki , M. Kasprzack , K. Kawabe , P. J. King , J. S. Kissel , Rahul Kumar , M. Landry , B. B. Lane , B. Lantz , M. Laxen , Y. K. Lecoeuche , J. Leviton , J. Liu , M. Lormand , A. P. Lundgren , 0 R. Macas , M. MacInnis , D. M. Macleod , S. Marka , 0 Z. Marka , 0 D. V. Martynov , K. Mason , T. J. Massinger , R. McCarthy , S. McCormick , J. McIver , G. Mendell , K. Merfeld , E. L. Merilh , F. Meylahn , T. Mistry , R. Mittleman , G. Moreno , C. M. Mow-Lowry , S. Mozzon , 0 T. J. N. Nelson , P. Nguyen , L. K. Nuttall , 0 J. Oberling , Richard J. Oram , C. Osthelder , D. J. Ottaway , H. Overmier , J. R. Palamos , W. Parker , E. Payne , A. Pele , R. Penhorwood , C. J. Perez , M. Pirello , H. Radkins , K. E. Ramirez , J. W. Richardson , K. Riles , N. A. Robertson , J. G. Rollins , C. L. Romel , J. H. Romie , M. P. Ross , K. Ryan , T. Sadecki , E. J. Sanchez , L. E. Sanchez , T. R. Saravanan , R. L. Savage , D. Schaetzl , R. Schnabel , R. M. S. Schofield , E. Schwartz , D. Sellers , T. Shaffer , J. R. Smith , S. Soni , B. Sorazu , A. P. Spencer , K. A. Strain , L. Sun , M. J. Szczepanczyk , M. Thomas , P. Thomas , K. A. Thorne , K. Toland , C. I. Torrie , G. Traylor , A. L. Urban , G. Vajente , G. Valdes , D. C. Vander-Hyde , P. J. Veitch , K. Venkateswara , G. Venugopalan , A. D. Viets , C. Vorvick , M. Wade , J. Warner , B. Weaver , R. Weiss , B. Willke , C. C. Wipf , L. Xiao , H. Yamamoto , Hang Yu , L. Zhang , M. E. Zucker , J. Zweizig

We provide an explicit construction of entangled states in a noncommutative space with nonclassical states, particularly with the squeezed states. Noncommutative systems are found to be more entangled than the usual quantum mechanical…

Quantum Physics · Physics 2015-06-18 Sanjib Dey , Véronique Hussin

We obtain the squeezed coherent states (SCS) for a free particle with exponentially time-varying mass. We write these states in terms of the squeeze and displacement parameters on the time-independent Fock states. Thus, we find a condition…

Quantum Physics · Physics 2023-05-02 A. S. Pereira , A. S. Lemos , F. A. Brito

We use a single squeezed state to represent a qubit, which can be coherently processed in a deconvolution picture (DP) in the presence of noise. We avail ourselves of the fact that when evolution is governed by a quadratic dissipative…

Quantum Physics · Physics 2017-12-01 Allan Tameshtit

The use of special quantum states to achieve sensitivities below the limits established by classically behaving states has enjoyed immense success since its inception. In bosonic interferometers, squeezed states, number states and cat…

High-quality superconducting oscillators have been successfully used for quantum control and readout devices in conjunction with superconducting qubits. Also, it is well known that squeezed states can improve the accuracy of measurements to…

Superconductivity · Physics 2009-11-13 A. M. Zagoskin , E. Il'ichev , M. W. McCutcheon , Jeff Young , Franco Nori

We compute the photon number distribution, the Q distribution function and the wave functions in the momentum and position representation for a single mode squeezed number state using generating functions which allow to obtain any matrix…

Quantum Physics · Physics 2018-02-14 L. Albano , D. F. Mundarain , J. Stephany

quantum theory of generalized $\mathrm{X}$ waves with orbital angular momentum in dispersive media, and the interaction of quantized $\mathrm{X}$ waves in quadratic nonlinear media were studied in (J. opt,20,065201(2018)). We present a kind…

Quantum Physics · Physics 2020-08-26 Ali Saif M. Hassan , Waleed S. A. Hasan , M. A. Shukri

Continuous variable encoding of quantum information requires the deterministic generation of highly correlated quantum states of light in the form of quantum networks, which, in turn, necessitates the controlled generation of a large number…

Multimode squeezed states of light have been proposed as a resource for achieving quantum advantage in computing and sensing. Recent experiments that demonstrate multimode Gaussian states to this end have most commonly opted for spatial or…