Harmonic Oscillator Staging Coordinates for Efficient Path Integral Simulations of Quantum Oscillators and Crystals.
Sign Up to like & getrecommendations! Published in 2024 at "Journal of chemical theory and computation"
DOI: 10.1021/acs.jctc.4c00522
Abstract: Imaginary-time path integral (PI) is a rigorous quantum mechanical tool to compute static properties at finite temperatures. However, the stiff nature of the internal PI modes poses a sampling challenge. This is commonly tackled using… read more here.
Keywords: path integral; oscillator; harmonic oscillator; oscillators crystals ... See more keywords
Accurate and Fast Estimation of the Continuum Limit in Path Integral Simulations of Quantum Oscillators and Crystals.
Sign Up to like & getrecommendations! Published in 2024 at "Journal of chemical theory and computation"
DOI: 10.1021/acs.jctc.4c00989
Abstract: Convergence of imaginary-time path integral results requires a substantial number of beads (n) when quantum effects are significant. Traditional Trotter scaling approaches estimate the continuum limit (n → ∞) through extrapolation; however, their validity is… read more here.
Keywords: path integral; continuum limit; oscillators crystals; quantum oscillators ... See more keywords
Relaxation dynamics and dissipative phase transition in quantum oscillators with period tripling
Sign Up to like & getrecommendations! Published in 2020 at "Physical Review B"
DOI: 10.1103/physrevb.101.054501
Abstract: Period tripling in driven quantum oscillators reveals unique features absent for linear and parametric drive, but generic for all higher-order resonances. Here, we focus at zero temperature on the relaxation dynamics towards a stationary state… read more here.
Keywords: quantum oscillators; period tripling; phase; transition ... See more keywords
Kerr nonlinearity hinders symmetry-breaking states of coupled quantum oscillators.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.106.024216
Abstract: We study the effect of Kerr anharmonicity on the symmetry-breaking phenomena of coupled quantum oscillators. Two types of symmetry-breaking processes are studied, namely, the inhomogeneous steady state (or quantum oscillation death state) and quantum chimera… read more here.
Keywords: kerr nonlinearity; nonlinearity hinders; coupled quantum; symmetry breaking ... See more keywords
Statistical properties of relativistic quantum oscillators in the presence of global monopole
Sign Up to like & getrecommendations! Published in 2025 at "International Journal of Modern Physics A"
DOI: 10.1142/s0217751x26500260
Abstract: In this article, investigates the interactions of the Dirac oscillator in the context of global monopoles, focusing on the effects of fermionic fields in curved spacetime. By analyzing the Dirac equation and employing a partition… read more here.
Keywords: relativistic quantum; statistical properties; properties relativistic; oscillators presence ... See more keywords