Naslov
Entropy of pure states: not all wave functions are born equal

Autori
Sunko, Denis K.

Izvornik
4open (2557-0250) 5 (2022); 3, 10

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Many-body Hilbert space ; Free module ; Logical entropy ; Quantum entropy ; Bargmann space

Sažetak
Many-body Hilbert space has the algebraic structure of a finitely generated free module. All N-body wave functions in d dimensions can be generated by a finite number of N!d − 1 of generators called shapes, with symmetric-function coefficients. Physically the shapes are vacuum states, while the symmetric coefficients are bosonic excitations of these vacua. It is shown here that logical entropy can be used to distinguish fermion shapes by information content, although they are pure states whose usual quantum entropies are zero. The construction is based on the known algebraic structure of fermion shapes. It is presented for the case of N fermions in three dimensions. The background of this result is presented as an introductory review.

Izvorni jezik
Engleski

Znanstvena područja
Fizika

POVEZANOST RADA