Remarks on the entropy in quantum macrophysics

Geoffrey L. Sewell

Geoffrey L. Sewell

Danil Doubochinski

In 1967-1968, Danil and Jakov Doubochinski, students of Moscow State University, discovered the amplitude quantization phenomenon - also known as Doubochinski’s Macrophysical Quantum Effect (DMQE) –relating to a great class of non-linear oscillatory systems, the behavior of which is difficult or even impossible to understand on the basis of classical theoretical mechanics. DMQE, which can be demonstrated on a multitude of electromechanic, radiotechnical, acoustic and other devices, appears when two or more oscillatory systems are interconnected with interactions that have a specific phase-dependent character - so-called “argumentйд interactions”.

Makoto Ohya, D�nes Petz

Robert Sims, Daniel Ueltschi

J. Marijan, Helmut Strobel, Markus K. Oberthaler +1 more

We investigate entropy transport for universal scaling phenomena in closed quantum many-body systems far from equilibrium. From spatially resolved experimental data of a spinor Bose gas, we demonstrate that entropy decreases on long-distance scales while it increases at short distances. A dynamical separation of scales leads to macrophysics with long-range order, which is insensitive to the highly entropic microphysical processes. Since the total von Neumann entropy is conserved on a fundamental level for the quantum system, our analysis reveals a reciprocal connection between the emergence of macroscopic structure and microscopic disorder. To illustrate the scope of this connection, we exemplify the universal phenomenon also in a relativistic quantum field theory calculation from first principles, which is relevant for particle physics and early-universe cosmology.