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D. Banerjee, S. Chandrasekharan, D. Orlando, and S. Reffert, (2019), arXiv:1902.09542 [hep-lat]
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1902
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A. Alexandru, P. F. Bedaque, H. Lamm, and S. Lawrence (NuQS), (2019), arXiv:1903.06577 [hep-lat]
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J. Frank, E. Huffman, and S. Chandrasekharan, (2019), arXiv:1904.05414 [cond-mat.str-el]
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2019

A qubit regularization of the $O(3)$ sigma model

Singh, Hersh, Chandrasekharan, Shailesh

Understand

We construct a qubit regularization of the $O(3)$ non-linear sigma model in two and three spatial dimensions using a quantum Hamiltonian with two qubits per lattice site.

Using a worldline formulation and worm algorithms, we show that in two spatial dimensions our model has a quantum critical point where the well-known scale-invariant physics of the three-dimensional Wilson-Fisher fixed point is reproduced.
In three spatial dimensions, we recover mean-field critical exponents at a similar quantum critical point.
These results show that our qubit Hamiltonian is in the same universality class as the traditional classical lattice model close to the critical points.

Built on

D. Banerjee, S. Chandrasekharan, D. Orlando, and S. Reffert, (2019), arXiv:1902.09542 [hep-lat]
Original
1902
Earlier work this paper cites.
A. Alexandru, P. F. Bedaque, H. Lamm, and S. Lawrence (NuQS), (2019), arXiv:1903.06577 [hep-lat]
Original
1903
Earlier work this paper cites.
J. Frank, E. Huffman, and S. Chandrasekharan, (2019), arXiv:1904.05414 [cond-mat.str-el]
Original
1904
Earlier work this paper cites.
S. Chandrasekharan and U. J. Wiese, Nucl. Phys. B492
1997
Earlier work this paper cites.
M. A. Nielsen and I. L. Chuang, Quantum computation and quantum information (Cambridge University Press, 2000)
2000
Earlier work this paper cites.
S. B. Bravyi and A. Y. Kitaev, Annals of Physics 298
2002
Earlier work this paper cites.
A. Pelissetto and E. Vicari, Phys. Rept. 368
2002
Earlier work this paper cites.
R. Brower, S. Chandrasekharan, S. Riederer, and U. J. Wiese, Nucl. Phys. B693
2004
Earlier work this paper cites.
M. Troyer and U.-J. Wiese, Phys. Rev. Lett. 94
2005
Earlier work this paper cites.
B. B. Beard, M. Pepe, S. Riederer, and U. J. Wiese, Phys. Rev. Lett. 94
2005
Earlier work this paper cites.
U. J. Wiese, Hadron physics, proceedings of the Workshop on Computational Hadron Physics, University of Cyprus, Nicosia, Cyprus, 14-17 September 2005 , Nucl. Phys. Proc. Suppl. 153
2006
Earlier work this paper cites.
S. Chandrasekharan and F.-J. Jiang, Phys. Rev. D74
2006
Earlier work this paper cites.
M. Campostrini, M. Hasenbusch, A. Pelissetto, and E. Vicari, Phys.Rev. B74
2006
Earlier work this paper cites.

Similar

S. Chandrasekharan, Proceedings, 26th International Symposium on Lattice field theory (Lattice 2008): Williamsburg, USA, July 14-19, 2008 , PoS LATTICE2008
Original
2008
Cited alongside, same era.
U. Wolff, Nucl. Phys. B824
Original
2010
Cited alongside, same era.
J. Casanova, L. Lamata, I. L. Egusquiza, R. Gerritsma, C. F. Roos, J. J. Garcia-Ripoll, and E. Solano, Phys. Rev. Lett. 107
Original
2011
Cited alongside, same era.
S. P. Jordan, K. S. M. Lee, and J. Preskill, Science 336
Original
2012
Cited alongside, same era.
J. Casanova, A. Mezzacapo, L. Lamata, and E. Solano, Phys. Rev. Lett. 108
Original

Then

F. Bruckmann, C. Gattringer, T. Kloiber, and T. Sulejmanpasic, Phys. Rev. D94
Original
2016
Later among the works it cites.
F. Kos, D. Poland, D. Simmons-Duffin, and A. Vichi, JHEP 08
Original
2016
Later among the works it cites.
A. Kandala, A. Mezzacapo, K. Temme, M. Takita, M. Brink, J. M. Chow, and J. M. Gambetta, Nature 549
2017
Later among the works it cites.
M. C. Bañuls, K. Cichy, J. I. Cirac, K. Jansen, and S. Kühn, Phys. Rev. Lett. 118
Original
2017
Later among the works it cites.
V. c. v. Havlíček, M. Troyer, and J. D. Whitfield, Phys. Rev. A 95
2017
Later among the works it cites.

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