
We study subsystem-structure selection in small interacting quantum systems. We compare two criteria: (i) maximization of cross-boundary correlations and (ii) minimization of dynamical coupling across subsystem boundaries. Using exact diagonalization of asymmetric spin chains, we show that these criteria can favor different tensor factorizations of Hilbert space. We derive the crossover parameter λ* at which the preferred factorization switches. The existence of this regime demonstrates that subsystem structure need not be uniquely determined by dynamical stability alone. This paper is part of the Relational Emergence Model (REM) series (REM4 of 5).
variational principle, subsystem structure, tensor product factorization, quantum information, REM, Relational Emergence Model, decoherence, relational quantum mechanics
variational principle, subsystem structure, tensor product factorization, quantum information, REM, Relational Emergence Model, decoherence, relational quantum mechanics
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 0 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
