3 problems

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Conjecture on extending local-reservoir results to large finite spin chains
Large finite-chain conjecture. As a consequence of the local nature of the reservoirs and perturbing magnetic fields, many of these results should extend to large finite values of…
Conjectureopennonequilibrium-steady-states open-spin-chains quantum-dynamicsarXiv posted 2 days ago
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Conjecture on incompatibility of unbounded reservoir energy with unique NESS conditions
Reservoir-energy conjecture. If the range of reservoir energy goes from $- fty$ to $+ fty$ , then it is not possible to satisfy the sufficient conditions derived for the existence o…
Conjectureopennonequilibrium-steady-states open-quantum-systems quantum-statistical-mechanicsarXiv posted 2 days ago
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Adiabatic vanishing conjecture for the transient current
Let $H$ be the coupled Hamiltonian, let $P^{d}(H)$ be the projection onto the subspace generated by the discrete eigenfunctions of $H$ , and let ${\varrho}_{\alpha}(t)$ denote the t…
Conjectureopenadiabatic-limits nonequilibrium-steady-states quantum-transportarXiv posted 2 days ago

Conjecture on extending local-reservoir results to large finite spin chains