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We investigate nonlinear effects on the dynamics of entanglement and other quantum observables in a system of two harmonic modes coupled through angular momentum. The nonlinearity arises from a quartic anharmonic term in each mode. The…

Quantum Physics · Physics 2020-10-13 N. Canosa , R. Rossignoli , Javier Garcia , Swapan Mandal , Kartick Chandra Saha

Understanding the vibrational and thermal properties of amorphous solids is one of the most discussed and long-standing issues in condensed matter physics. Recent works have made significant steps towards understanding harmonic vibrational…

Soft Condensed Matter · Physics 2020-02-28 Hideyuki Mizuno , Masanari Shimada , Atsushi Ikeda

We investigate the effect of anharmonicity on the one-dimensional half-filled Holstein model by using the determinant quantum Monte Carlo method. By calculating the order parameters we find that with and without anharmonicity there is…

Strongly Correlated Electrons · Physics 2012-01-13 Jize Zhao , Kazuo Ueda

We generalize a proposal for detecting single phonon transitions in a single nanoelectromechanical system (NEMS) to include the intrinsic anharmonicity of each mechanical oscillator. In this scheme two NEMS oscillators are coupled via a…

Quantum Physics · Physics 2009-11-10 D. H. Santamore , Hsi-Sheng Goan , G. J. Milburn , M. L. Roukes

This work investigates the multiplicity and differentiability of eigenfrequencies in structures with various symmetries. In particular, the study explores how the geometric and design variable symmetries affect the distribution of…

Computational Engineering, Finance, and Science · Computer Science 2025-01-28 Shiyao Sun , Kapil Khandelwal

In this article, we present a deflection measurement setup for Atomic Force Microscopy (AFM). It is based on a quadrature phase differential interferometer: we measure the optical path difference between a laser beam reflecting above the…

Instrumentation and Detectors · Physics 2015-06-16 Pierdomenico Paolino , Felipe A. Aguilar Sandoval , Ludovic Bellon

We study atomic systems that are in the frequency range of optical atomic clocks and have enhanced sensitivity to potential time-variation of the fine structure constant, alpha. The high sensitivity is due to coherent contributions from…

Atomic Physics · Physics 2010-09-16 J. C. Berengut , V. A. Dzuba , V. V. Flambaum

The anharmonicity resulted from the intrinsic phonon interaction is neglected by quasiharmonic approximation. Although the intensive researches about anharmonicity have been done, up to now the free energy contributed by the anharmonicity…

Statistical Mechanics · Physics 2007-05-23 Zhongqing Wu , Renata M. Wentzcovitch

We study the entanglement dynamics of the two two-level atoms coupling with a single-mode polarized cavity field after incorporating the atomic centers of mass classical harmonic vibrations with micro amplitudes and low frequencies. We…

Quantum Physics · Physics 2016-02-04 Yong-Yi Huang

Theoretical frameworks used to qualitatively and quantitatively describe nuclear dynamics in solids are often based on the harmonic approximation. However, this approximation is known to become inaccurate or to break down completely in many…

Materials Science · Physics 2020-09-02 Florian Knoop , Thomas A. R. Purcell , Matthias Scheffler , Christian Carbogno

The most important recent results in the theory of phase transitions and quantum effects in quantum anharmonic crystals are presented and discussed. In particular, necessary and sufficient conditions for a phase transition to occur at some…

Statistical Mechanics · Physics 2015-06-04 Sergio Albeverio , Yuri Kozitsky , Yuri Kondratiev , Michael Roeckner

Ambient operation poses a challenge to AFM because in contrast to operation in vacuum or liquid environments, the cantilever dynamics change dramatically from oscillating in air to oscillating in a hydration layer when probing the sample.…

Mesoscale and Nanoscale Physics · Physics 2014-02-24 Daniel S. Wastl , Alfred J. Weymouth , Franz J. Giessibl

In the presence of interactions the frequency of a simple harmonic oscillator deviates from the noninteracting one. Various methods can be used to compute the changes to the frequency perturbatively. Some of them resemble the methods used…

Classical Physics · Physics 2021-09-06 Saman Moghimi-Araghi , Farhang Loran

We determine the quantitative effect, in the maximum number of particles and other static observables, due to small anharmonic terms added to the confining potential of an atomic condensed system with negative two-body interaction. As an…

Soft Condensed Matter · Physics 2009-11-07 Victo S. Filho , Arnaldo Gammal , Lauro Tomio

Measurements of the deflection induced by thermal noise have been performed on a rectangular atomic force microscope cantilever in air. The detection method, based on polarization interferometry, can achieve a resolution of 1E-14 m/rtHz in…

Statistical Mechanics · Physics 2009-11-17 Pierdomenico Paolino , Bruno Tiribilli , Ludovic Bellon

We study the effects of anharmonicity on the physics of the Holstein model, which describes the coupling of itinerant fermions and localized quantum phonons, by introducing a quartic term in the phonon potential energy. We find that the…

Strongly Correlated Electrons · Physics 2021-06-01 G. Paleari , F. Hébert , B. Cohen-Stead , K. Barros , R. T. Scalettar , G. G. Batrouni

The sensitivity of mechanical resonators to physical quantities such as acceleration, pressure, mass and temperature enables them to underpin sensing and metrology applications. Here, we observe that the resonance frequency of a…

Applied Physics · Physics 2025-09-15 Toji Thomas , Kevin F. MacDonald , Eric Plum

We consider a finite Fermi-system where the residual interactions create a soft mode of the excitation spectrum. Because of the large vibrational amplitude, the standard random phase approximation does not work in this situation. We develop…

Nuclear Theory · Physics 2007-05-23 Vladimir Zelevinsky , Alexander Volya

Magnetic force microscopy (MFM) is a well-established technique in scanning probe microscopy that allows for the imaging of magnetic samples with a spatial resolution of tens of nm and stray fields down to the mT range. The spatial…

Mesoscale and Nanoscale Physics · Physics 2024-11-13 Christopher Habenschaden , Sibylle Sievers , Alexander Klasen , Andrea Cerreta , Hans Werner Schumacher

Interatomic-force measurements are regularly performed using frequency-modulation atomic force microscopy. This requires conversion of the observed shift in the resonant frequency of a force-sensing cantilever, to the actual force…

Applied Physics · Physics 2020-12-02 John Elie Sader