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Effective Equations of Motion for Quantum Systems
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In many situations, one can approximate the behavior of a quantum system, i.e. a wave function subject to a partial differential equation, by effective classical equations which are ordinary differential equations. A general method and geometrical picture is developed and shown to agree with effective action results, commonly derived through path integration, for perturbations around a harmonic oscillator ground state. The same methods are used to describe dynamical coherent states, which in turn provide means to compute quantum corrections to the symplectic structure of an effective system.
Forward citations
Cited by 3 Pith papers
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On the relation between perspective-neutral, algebraic, and effective quantum reference frames
For ideal quantum reference frames with a single constraint, the perspective-neutral, algebraic, and effective semiclassical approaches describe the same physics and the same frame-switching rules.
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Semiclassical Backreaction: A Qualitative Assessment
A numerical benchmark of a two-oscillator toy model shows the mean-field and truncated Wigner methods each outperform plain classical evolution, but in complementary parameter regimes tied to classical instability and...
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What can we do in a symmetry-constrained perspective? The importance of the total charge's status in quantum reference frame frameworks
A two-observer Z2 toy model is used to argue that internal observers can access the total charge, favoring weak over strong symmetry in quantum reference frame frameworks.
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