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This theoretical framework establishes a rigorous link between stochastic Ito calculus and quantum irreversibility, deriving a universal asymmetry-coupling parameter of 2/3 that fundamentally distinguishes forward and backward dynamics in nonlinear systems. By introducing an energy-driven collapse operator, the model successfully predicts bright soliton solutions for attractive Li-7 Bose-Einstein condensates with a forward-to-backward amplitude ratio of 1.870. The analysis demonstrates that the forward collapse operator grows monotonically while the backward counterpart decays, achieving a ratio of approximately 1030 and offering a distinct alternative to conventional symmetric collapse models.
Energy-Modulated Time-Asymmetric Spontaneous Collapse: Forward-Backward Dynamics from Stochastic Ito Reversal and Bright Solitons
arXiv:2606.06452v3 Announce Type: replace Abstract: We present a rigorous theoretical framework for symmetry breaking and quantum irreversibility arising from stochastic Ito field reversal within a cubic-quintic nonlinear Schrodinger equation (CQ-NLSE) formalism. Starting from three physically motivated considerations, forward and backward nonlinear stochastic differential equations are derived via the Ito calculus. Kinematic time-reversal is shown to be fundamentally incompatible with the Ito stochastic structure, yielding the universal asymmetry-coupling parameter of 2/3. An energy-driven collapse operator proportional to the product of noise strength, local probability density, and excitation energy squared is introduced, amplifying the collapse in high-density, high-excitation regions. Exactly bright soliton solutions are obtained for a quasi-one-dimensional BEC of attractive Li-7 atoms, with forward and backward amplitude ratio of 1.870. Heat map analysis of the parameter planes reveals that the forward collapse operator grows monotonically in time while the backward counterpart decays, achieving a ratio approximately 1030, sharply distinguishing this framework from conventional symmetric collapse models.
Abstract:We present a rigorous theoretical framework for symmetry breaking and quantum irreversibility arising from stochastic Ito field reversal within a cubic-quintic nonlinear Schrodinger equation (CQ-NLSE) formalism. Starting from three physically motivated considerations, forward and backward nonlinear stochastic differential equations are derived via the Ito calculus. Kinematic time-reversal is shown to be fundamentally incompatible with the Ito stochastic structure, yielding the universal asymmetry-coupling parameter of 2/3. An energy-driven collapse operator proportional to the product of noise strength, local probability density, and excitation energy squared is introduced, amplifying the collapse in high-density, high-excitation regions. Exactly bright soliton solutions are obtained for a quasi-one-dimensional BEC of attractive Li-7 atoms, with forward and backward amplitude ratio of 1.870. Heat map analysis of the parameter planes reveals that the forward collapse operator grows monotonically in time while the backward counterpart decays, achieving a ratio approximately 1030, sharply distinguishing this framework from conventional symmetric collapse models.
19 pages, 5 figures, Bibliography this http URL to Journal of Physics A: Mathematical and Theoretical. The authors thank this http URL for feedback that prompted a bibliography correction in v2
Quantum Physics (quant-ph); Quantum Gases (cond-mat.quant-gas); Pattern Formation and Solitons (nlin.PS)
arXiv:2606.06452 [quant-ph]
(or arXiv:2606.06452v3 [quant-ph] for this version)
Text integral sub licența deschisă a publicației · 200 cuvinte
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