TY - JOUR

T1 - Quantum geometric phase under pre- And post-selection

AU - Yakovleva, T. S.

AU - Rostom, A. M.

AU - Tomilin, V. A.

AU - Ilichev, L. V.

PY - 2019/1/1

Y1 - 2019/1/1

N2 - We consider a quantum system subjected to a controlled phase transformation and interaction with the environment in between the acts of selection, which leads to the emergence of interference effects. It is shown that the shift of the dependence of the statistics of contacts' information with the environement on the controlled phase shift can be interpreted as a geometric phase. This interpretation is consistent with the known operational approach to the geometric phase. As a result, we suggest generalising the operational approach to the realm of pre- and post-selected quantum states.

AB - We consider a quantum system subjected to a controlled phase transformation and interaction with the environment in between the acts of selection, which leads to the emergence of interference effects. It is shown that the shift of the dependence of the statistics of contacts' information with the environement on the controlled phase shift can be interpreted as a geometric phase. This interpretation is consistent with the known operational approach to the geometric phase. As a result, we suggest generalising the operational approach to the realm of pre- and post-selected quantum states.

KW - Mach - Zehnder interferometer

KW - quantum geometric phase

KW - two-state vector formalism

KW - Mach-Zehnder interferometer

UR - http://www.scopus.com/inward/record.url?scp=85067576925&partnerID=8YFLogxK

U2 - 10.1070/QEL17014

DO - 10.1070/QEL17014

M3 - Article

AN - SCOPUS:85067576925

VL - 49

SP - 439

EP - 442

JO - Quantum Electronics

JF - Quantum Electronics

SN - 1063-7818

IS - 5

ER -