Enhancement of quantum synchronization via continuous measurement and feedback control
We study synchronization of a quantum van der Pol oscillator with a harmonic drive and demonstrate that quantum synchronization can be enhanced by performing continuous homodyne measurement on an additional bath linearly coupled to the oscillator and ...
Yuzuru Kato, Hiroya Nakao
doaj +1 more source
Inverting Time-Dependent Harmonic Oscillator Potential by a Unitary Transformation and a New Class of Exactly Solvable Oscillators [PDF]
A time-dependent unitary (canonical) transformation is found which maps the Hamiltonian for a harmonic oscillator with time-dependent real mass and real frequency to that of a generalized harmonic oscillator with time-dependent real mass and imaginary ...
A. B. Nassar +17 more
core +2 more sources
Coulomb and quantum oscillator problems in conical spaces with arbitrary dimensions [PDF]
The Schr\"odinger equations for the Coulomb and the Harmonic oscillator potentials are solved in the cosmic-string conical space-time. The spherical harmonics with angular deficit are introduced.
Bergmann D +9 more
core +2 more sources
Non-classical correlations beyond Bell’s inequality violation in qubit-pairs with an intrinsic noise
In this paper, we analytically explore two qubits interacting with a coherent harmonic oscillator field under intrinsic noise. The interaction of the uncorrelated two qubits with a harmonic oscillator initially in the superposition of coherent states ...
A.-B. A. Mohamed, H. Eleuch
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Multipartite Entanglement Generation in a Structured Environment
In this paper, we investigate the entanglement generation of n-qubit states in a model consisting of n independent qubits, each coupled to a harmonic oscillator which is in turn coupled to a bath of N additional harmonic oscillators with nearest-neighbor
Shijiao Wang +2 more
doaj +1 more source
Exact Master Equation and Quantum Decoherence of Two Coupled Harmonic Oscillators in a General Environment [PDF]
In this paper we derive an exact master equation for two coupled quantum harmonic oscillators interacting via bilinear coupling with a common environment at arbitrary temperature made up of many harmonic oscillators with a general spectral density ...
B. L. Hu +5 more
core +2 more sources
−symmetric harmonic oscillators [PDF]
9 pages, submitted to Phys.
openaire +2 more sources
Simple Harmonic Oscillator Equation and Its Hyers-Ulam Stability
We solve the inhomogeneous simple harmonic oscillator equation and apply this result to obtain a partial solution to the Hyers-Ulam stability problem for the simple harmonic oscillator equation.
Soon-Mo Jung, Byungbae Kim
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Numerical investigation of the fractal capillary oscillator
This paper focuses on the numerical investigation of a fractal modification of capillary oscillator by using a coupling technique based on the two-scale transformation and the global residue harmonic balance method.
Bin Chen, Junfeng Lu, Zhongze Xia
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The multi-faceted inverted harmonic oscillator: Chaos and complexity
The harmonic oscillator is the paragon of physical models; conceptually and computationally simple, yet rich enough to teach us about physics on scales that span classical mechanics to quantum field theory.
Arpan Bhattacharyya, Wissam Chemissany, S. Shajidul Haque, Jeff Murugan, Bin Yan
doaj +1 more source

