TY - JOUR
T1 - Non-Hermitian dynamics from Hermitian systems
T2 - Do-it-yourself
AU - Villegas-Martínez, Braulio M.
AU - Soto-Eguibar, Francisco
AU - Moya-Cessa, Héctor M.
AU - Hojman, Sergio A.
AU - Asenjo, Felipe A.
N1 - Publisher Copyright:
© 2024 World Scientific Publishing Company.
PY - 2024/8/10
Y1 - 2024/8/10
N2 - We show that several Hamiltonians that are symmetric may be taken to Hermitian Hamiltonians via a non-unitary transformation and vice versa. Therefore, a recipe to produce tractable non-Hermitian Hamiltonians is given (a set of instructions to do it yourself). We also show that for some specific Hamiltonians such non-unitary transformations may be associated, via a fractional-Wick rotation, to complex time.
AB - We show that several Hamiltonians that are symmetric may be taken to Hermitian Hamiltonians via a non-unitary transformation and vice versa. Therefore, a recipe to produce tractable non-Hermitian Hamiltonians is given (a set of instructions to do it yourself). We also show that for some specific Hamiltonians such non-unitary transformations may be associated, via a fractional-Wick rotation, to complex time.
KW - PT symmetric Hamiltonians
KW - Wick rotation
KW - non-unitary transformations
UR - http://www.scopus.com/inward/record.url?scp=85184512828&partnerID=8YFLogxK
U2 - 10.1142/S0217984924501781
DO - 10.1142/S0217984924501781
M3 - Article
AN - SCOPUS:85184512828
SN - 0217-9849
VL - 38
JO - Modern Physics Letters B
JF - Modern Physics Letters B
IS - 22
M1 - 2450178
ER -