Quantum quench (the sudden change) of the magnetic field in the orthorhombic and monoclinic paramagnets yields the renormalization of the spin quadrupole moment of the system. In the closed system, the renormalized spin quadrupole moment oscillates with the frequency, determined by the final value of the magnetic field. In the open system, these oscillations are damped in the steady-state regime. The renormalization of the electric permittivity, piezoelectric modulus, and elastic modulus of the system are dependent on both initial and finite values of the magnetic field via the spin quadrupole susceptibility demonstrating features at the critical values of the magnetic field, at which crossover of the energy levels of the paramagnet takes place.

1.
A.
Polkovnikov
,
K.
Sengupta
,
A.
Silva
, and
M.
Vengalattore
,
Rev. Mod. Phys.
83
,
863
(
2011
).
2.
A. A.
Zvyagin
,
Fiz. Nizk.Temp.
42
,
1240
(
2016
) [
Low Temp. Phys.
42, 971 (2016)].
3.
M. A.
Nielsen
, and
I.
Chuang
,
Quantum Computation and Quantum Information
(
Cambridge University Press
,
Cambridge
,
2000
).
4.
S.
Sanvito
, and
A. R.
Rocha
,
J. Comput. Theor. Nanosci.
3
,
624
(
2006
).
5.
G.
Christou
,
D.
Gatteschi
,
D. N.
Hendrickson
, and
R.
Sessoli
,
Mater. Res. Soc. Bull.
25
,
66
(
2000
).
6.
W.
Wernsdorfer
, and
R.
Sessoli
,
Science
284
,
133
(
1999
).
7.
D.
Gatteschi
,
R.
Sessoli
, and
J.
Villain
,
Molecular Nanomagnets
(
Oxford University Press
,
New York
,
2007
).
8.
A. A.
Zvyagin
, and
G. A.
Zvyagina
,
Fiz. Nizk. Temp.
47
,
140
(
2021
) [
Low Temp. Phys.
47, 123 (2021)].
9.
A. A.
Zvyagin
,
Fiz. Nizk. Temp.
47
,
322
(
2021
) [
Low Temp. Phys.
47, 294 (2021)].
10.
A. A.
Zvyagin
, and
G. A.
Zvyagina
,
Fiz. Nizk. Temp.
48
,
238
(
2022
) [
Low Temp. Phys.
48, 212 (2022)].
11.
A. A.
Zvyagin
, and
G. A.
Zvyagina
,
Fiz. Nizk. Temp.
48
,
884
(
2022
) [
Low Temp. Phys.
48, 780 (2022)].
12.
A. A.
Zvyagin
, and
G. A.
Zvyagina
,
Fiz. Nizk. Temp.
49
,
795
(
2023
) [
Low Temp. Phys.
49, 724 (2023)].
13.
A. A.
Zvyagin
,
V. V.
Slavin
, and
V. G.
Piryatinskaia
,
Fiz. Nizk. Temp.
49
,
1135
(
2023
) [
Low Temp. Phys.
49, 1031 (2023)].
14.
A. A.
Zvyagin
,
Quantum Theory of One-Dimensional Spin Systems
, (
Cambridge Scientific Publishers
,
Cambridge
,
2010
).
15.
L. D.
Landau
, and
E. M.
Lifshitz
,
Electrodynamics of Continuous Media
(
Pergamon Press
,
Oxford, England
,
1984
).
16.
L. D.
Landau
, and
E. M.
Lifshitz
,
Elasticity Theory
(
Pergamon Press
,
Oxford, England
,
1984
).
17.
G.
Lindblad
,
Commun. Math. Phys.
48
,
119
(
1976
).
18.
V.
Gorini
,
A.
Kossakovski
, and
E. C. G.
Sudarshan
,
J. Math. Phys.
17
,
821
(
1976
).
19.
R.
Karplus
, and
J.
Schwinger
,
Phys. Rev.
73
,
1020
(
1948
).
21.
A. A.
Zvyagin
,
Fiz. Nizk. Temp.
41
,
938
(
2015
) [
Low Temp. Phys.
41, 730 (2015)].
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