{"schema":"pubphys.bundle/1","record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"3b91274ccc08fc26da45ab7e8731ab864afcdf31ab8f5fa78d776b17a58d3caa","created":"2026-10-03T07:18:09Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"20960d53ecc30441e01911f12bbe5edb6235a01d9b9f7bbecee1fd84e0387696","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"yes-no","assisted_by":[],"external_id":"qi.decoherence-classicality.lyapunov-entropy-rate","kind":"well-posed","literature_status":"open","n":"1","parents":[],"plain":"When a quantum system whose classical version is chaotic (extremely sensitive to initial conditions) is weakly disturbed by its surroundings, Zurek and Paz predicted that it loses information at a rate fixed by its chaos, independent of how strong the disturbance is. Whether and when this holds is not settled.","posed_since":"1994","precise":"For a quantum system with a classically chaotic limit, positive Lyapunov exponents $\\lambda_i$, and weak Markovian coupling to an environment with momentum-diffusion constant $D$, Zurek and Paz (PRL 1994) conjectured that after a transient the von Neumann entropy $S$ of the reduced state grows as $dS/dt = \\text{sum of positive } \\lambda_i$, independent of $D$ over a wide range. Determine the range of $D$, effective Planck constant $\\hbar_{\\mathrm{eff}}$ and time for which this holds, and its corrections, in standard models (kicked rotor, kicked top); a related coupling-independent Lyapunov decay of the Loschmidt echo was found by Jalabert and Pastawski (PRL 2001).","problem_ref":null,"references":"","settled_by":"An analytic derivation or controlled numerics at decreasing $\\hbar_{\\mathrm{eff}}$ showing a $D$-independent plateau of $\\mathrm{d}S/\\mathrm{d}t$ equal to the Lyapunov sum, or its absence.","status_note":"","title":"Is entropy production of a decohering chaotic system set by Lyapunov 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