A collective statistical potential for identical fermions is repulsive for pairs but develops attractions for N≥3 whose minima coincide with Pauli crystals, providing their energetic origin and revealing inner-shell attraction for large N.
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Decoherence suppresses Talbot carpet interference and smooths momentum distributions in matter waves, yet probability flow channels tied to grating periodicity can persist.
MAL recovers correct symbolic force laws like Kepler gravity from noisy data by minimizing trajectory reconstruction, sparsity, and energy violation, reaching 100% identification via energy criterion on benchmarks.
A mean-field phase-space method emulates continuous-time dynamics of up to thousands of qubits with quadratic cost, capturing single-qubit observables qualitatively on transverse-field Ising models.
Local quantum memory criteria applied via matrix product operator methods show that single-intervention process tensors generally predict quantum memory at low temperatures in spin-boson models, while dynamical maps detect it for resonant environments at short times.
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Statistical Potential for Identical Fermions: Emergent Attraction and Pauli Crystal Formation
A collective statistical potential for identical fermions is repulsive for pairs but develops attractions for N≥3 whose minima coincide with Pauli crystals, providing their energetic origin and revealing inner-shell attraction for large N.
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Decoherence in matter-wave Talbot interference: a hydrodynamic probability-flow analysis
Decoherence suppresses Talbot carpet interference and smooths momentum distributions in matter waves, yet probability flow channels tied to grating periodicity can persist.
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Minimum-Action Learning: Energy-Constrained Symbolic Model Selection for Physical Law Identification from Noisy Data
MAL recovers correct symbolic force laws like Kepler gravity from noisy data by minimizing trajectory reconstruction, sparsity, and energy violation, reaching 100% identification via energy criterion on benchmarks.
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Emulation of large-scale qubit registers with a phase-space approach
A mean-field phase-space method emulates continuous-time dynamics of up to thousands of qubits with quadratic cost, capturing single-qubit observables qualitatively on transverse-field Ising models.
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Verifying Quantum Memory in the Dynamics of Spin Boson Models
Local quantum memory criteria applied via matrix product operator methods show that single-intervention process tensors generally predict quantum memory at low temperatures in spin-boson models, while dynamical maps detect it for resonant environments at short times.