Abstract
We study a transverse-field Ising model (TFIM) in a rotational reference frame. We find that the effective Hamiltonian of the TFIM of this system depends on the system’s rotation velocity. Since the rotation contributes an additional transverse field, the dynamics of TFIM sensitively responses to the rotation velocity at the critical point of quantum phase transition. This observation means that the TFIM can be used for quantum sensing of rotation velocity that can sensitively detect rotation velocity of the total system at the critical point. It is found that the resolution of the quantum sensing scheme we proposed is characterized by the half-width of Loschmidt echo of the dynamics of TFIM when it couples to a quantum system S. And the resolution of this quantum sensing scheme is proportional to the coupling strength δ between the quantum system S and the TFIM, and to the square root of the number of spins N belonging the TFIM.
Graphical abstract
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
M.N. Armenise, C. Ciminelli, F. Dell’Olio et al., Advances in gyroscope technologies [M] (Springer Science & Business Media, Berlin Heidelberg, 2010)
B. Barrett, R. Geiger, I. Dutta et al., C. R. Phys. 15, 875 (2014)
T.G. Walker, M.S. Larsen, Adv. At. Mol. Opt. Phys. 65, 373 (2016)
T.W. Kornack, R.K. Ghosh, M.V. Romalis, Phys. Rev. Lett. 95, 230801 (2005)
M. Larsen, M. Bulatowicz, in IEEE International, Frequency Control Symposium (FCS) (IEEE, 2012), p. 1
R.M. Noor, V. Gundeti, A.M. Shkel, in IEEE International Symposium on Inertial Sensors and Systems (INERTIAL) (IEEE, 2017), p. 156
H.T. Quan, Z. Song, X.F. Liu et al., Phys. Rev. Lett. 96, 140604 (2006)
S. Sachdev, Quantum phase transitions [M] (John Wiley & Sons Ltd., Cambridge, England, 2007)
J. Zhang, X. Peng, N. Rajendran et al., Phys. Rev. Lett. 100, 100501 (2008)
J. Zhang, F.M. Cucchietti, C.M. Chandrashekar et al., Phys. Rev. A 79, 012305 (2009)
V. Jacques, P. Neumann, J. Beck et al., Phys. Rev. Lett. 102, 057403 (2009)
A. Batalov, V. Jacques, F. Kaiser et al., Phys. Rev. Lett. 102, 195506 (2009)
P. Pfeuty, Phys. Lett. A 72, 245 (1979)
W. Liang, V.S. Ilchenko, A.A. Savchenkov et al., Optica 4, 114 (2017)
T. Müller, M. Gilowski, M. Zaiser et al., Eur. Phys. J. D 53, 273 (2009)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Ma, YH., Sun, CP. Quantum sensing of rotation velocity based on transverse field Ising model. Eur. Phys. J. D 71, 249 (2017). https://doi.org/10.1140/epjd/e2017-80247-x
Received:
Revised:
Published:
DOI: https://doi.org/10.1140/epjd/e2017-80247-x