Fetching the paper…
Reading the bibliography…
We speed up thermal simulations of quantum many-body systems in both one- (1D) and two-dimensional (2D) models in an exponential way by iteratively projecting the thermal density matrix $\hat\rho=e^{-\beta \hat{H}}$ onto itself.
N. D. Mermin and H. Wagner, “Absence of ferromagnetism or antiferromagnetism in one- or two-dimensional isotropic Heisenberg models,” Phys. Rev. Lett. 17
1966
Earlier work this paper cites.
P. W. Anderson, “Resonating valence bonds: A new kind of insulator?” Materials Research Bulletin 8
1973
Earlier work this paper cites.
K. G. Wilson, “The renormalization group: Critical phenomena and the Kondo problem,” Rev. Mod. Phys. 47
1975
Earlier work this paper cites.
I. Affleck, “Universal term in the free energy at a critical point and the conformal anomaly,” Phys. Rev. Lett. 56
1986
Earlier work this paper cites.
P. W. Anderson, “The resonating valence bond state in la2cuo4 and superconductivity,” Science 235
1987
Earlier work this paper cites.
N. Elstner, R. R. P. Singh, and A. P. Young, “Finite temperature properties of the spin-1/2 heisenberg antiferromagnet on the triangular lattice,” Phys. Rev. Lett. 71
1993
Earlier work this paper cites.
B. Bernu, P. Lecheminant, C. Lhuillier, and L. Pierre, “Exact spectra, spin susceptibilities, and order parameter of the quantum heisenberg antiferromagnet on the triangular lattice,” Physical Review B 50
1994
Earlier work this paper cites.
C. Holzhey, F. Larsen, and F. Wilczek, “Geometric and renormalized entropy in conformal field theory,” Nuclear Physics B 424
1994
Earlier work this paper cites.
R. J. Bursill, T. Xiang, and G. A. Gehring, “The density matrix renormalization group for a quantum spin chain at non-zero temperature,” Journal of Physics: Condensed Matter 8
1996
Earlier work this paper cites.
Y. Takahashi and H. Umezawa, “Thermo Field Dynamics,” International Journal of Modern Physics B 10
1996
Earlier work this paper cites.
X. Wang and T. Xiang, “Transfer-matrix density-matrix renormalization-group theory for thermodynamics of one-dimensional quantum systems,” Phys. Rev. B 56
1997
Earlier work this paper cites.
T. Xiang, “Thermodynamics of quantum heisenberg spin chains,” Phys. Rev. B 58
1998
Earlier work this paper cites.
L. Capriotti, A. E. Trumper, and S. Sorella, “Long-range néel order in the triangular heisenberg model,” Phys. Rev. Lett. 82
1999
Earlier work this paper cites.
B. Bernu and G. Misguich, “Specific heat and high-temperature series of lattice models: Interpolation scheme and examples on quantum spin systems in one and two dimensions,” Phys. Rev. B 63
2001
Earlier work this paper cites.
I. P. McCulloch and M. Gulácsi, “The non-abelian density matrix renormalization group algorithm,” EPL (Europhysics Letters) 57
2002
Earlier work this paper cites.
B. M. Terhal, M. Horodecki, D. W. Leung, and D. P. DiVincenzo, “The entanglement of purification,” Journal of Mathematical Physics 43
2002
Earlier work this paper cites.
J. Maldacena, “Eternal black holes in anti-de sitter,” Journal of High Energy Physics 2003
2003
Earlier work this paper cites.
M. Zwolak and G. Vidal, “Mixed-state dynamics in one-dimensional quantum lattice systems: A time-dependent superoperator renormalization algorithm,” Phys. Rev. Lett. 93
2004
Earlier work this paper cites.
F. Verstraete and J. I. Cirac, “Renormalization algorithms for Quantum-Many Body Systems in two and higher dimensions,” (2004), arXiv:0407066
2004
Earlier work this paper cites.
A. E. Feiguin and S. R. White, “Finite-temperature density matrix renormalization using an enlarged hilbert space,” Phys. Rev. B 72
2005
Earlier work this paper cites.
W. Zheng, R. R. P. Singh, R. H. McKenzie, and R. Coldea, “Temperature dependence of the magnetic susceptibility for triangular-lattice antiferromagnets with spatially anisotropic exchange constants,” Phys. Rev. B 71
2005
Earlier work this paper cites.
M. B. Hastings, “Solving gapped hamiltonians locally,” Phys. Rev. B 73
2006
Earlier work this paper cites.
J. Alicea, O. I. Motrunich, and M. P. A. Fisher, “Theory of the algebraic vortex liquid in an anisotropic spin- 1 2 \frac{1}{2} triangular antiferromagnet,” Phys. Rev. B 73
2006
Earlier work this paper cites.
T. Prosen and I. Pižorn, “Operator space entanglement entropy in a transverse Ising chain,” Phys. Rev. A 76
2007
Earlier work this paper cites.
M. Levin and C. P. Nave, “Tensor renormalization group approach to two-dimensional classical lattice models,” Phys. Rev. Lett. 99
2007
Earlier work this paper cites.
S. R. White and A. L. Chernyshev, “Neél order in square and triangular lattice heisenberg models,” Phys. Rev. Lett. 99
2007
Earlier work this paper cites.
M. Žnidarič, T. Prosen, and I. Pižorn, “Complexity of thermal states in quantum spin chains,” Phys. Rev. A 78
2008
Earlier work this paper cites.
R. Bulla, T. A. Costi, and T. Pruschke, “Numerical renormalization group method for quantum impurity systems,” Rev. Mod. Phys. 80
2008
Earlier work this paper cites.
G. M. Crosswhite and D. Bacon, “Finite automata for caching in matrix product algorithms,” Phys. Rev. A 78
2008
Earlier work this paper cites.
L. Amico, R. Fazio, A Osterloh, and V. Vedral, “Entanglement in many-body systems,” Rev. Mod. Phys. 80
2008
Earlier work this paper cites.
S. R. White, “Minimally entangled typical quantum states at finite temperature,” Phys. Rev. Lett. 102
2009
Cited alongside, same era.
P. Calabrese and J. Cardy, “Entanglement entropy and conformal field theory,” J. Phys. A: Math. Theor. 42
2009
Cited alongside, same era.
L. Balents, “Spin liquids in frustrated magnets,” Nature (London) 464
2010
Cited alongside, same era.
J. Eisert, M. Cramer, and M. B. Plenio, “Colloquium: Area laws for the entanglement entropy,” Rev. Mod. Phys. 82
2010
Cited alongside, same era.
E. M. Stoudenmire and S. R. White, “Minimally entangled typical thermal state algorithms,” New Journal of Physics 12
2010
Cited alongside, same era.
F. Fröwis, V. Nebendahl, and W. Dür, “Tensor operators: Constructions and applications for long-range interaction systems,” Phys. Rev. A 81
G. Evenbly and G. Vidal, “Tensor network renormalization yields the multiscale entanglement renormalization ansatz,” Phys. Rev. Lett. 115
2015
Later among the works it cites.
B. Bruognolo, J. von Delft, and A. Weichselbaum, “Symmetric minimally entangled typical thermal states,” Phys. Rev. B 92
2015
Later among the works it cites.
W.-J. Hu, Gong S.-S., W. Zhu, and D.-N. Sheng, “Competing spin-liquid states in the spin-12heisenberg model on the triangular lattice,” Physical Review B 92
2015
Later among the works it cites.
B. Kulchytskyy, C. M. Herdman, S. Inglis, and R. G. Melko, “Detecting goldstone modes with entanglement entropy,” Phys. Rev. B 92
2015
Later among the works it cites.
D. J. Luitz, X. Plat, F. Alet, and N. Laflorencie, “Universal logarithmic corrections to entanglement entropies in two dimensions with spontaneously broken continuous symmetries,” Phys. Rev. B 91
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2010
Cited alongside, same era.
B. Pirvu, V. Murg, J. I. Cirac, and Verstraete F., “Matrix product operator representations,” New Journal of Physics 12
2010
Cited alongside, same era.
W. Li, S.-J. Ran, S.-S. Gong, Y. Zhao, B. Xi, F. Ye, and G. Su, “Linearized tensor renormalization group algorithm for the calculation of thermodynamic properties of quantum lattice models,” Phys. Rev. Lett. 106
2011
Cited alongside, same era.
B. Bauer et al. , “The ALPS project release 2.0: open source software for strongly correlated systems,” Journal of Statistical Mechanics: Theory and Experiment 2011
2011
Cited alongside, same era.
A. B. Kallin, M. B. Hastings, R. G. Melko, and R. R. P. Singh, “Anomalies in the entanglement properties of the square-lattice Heisenberg model,” Phys. Rev. B 84
2011
Cited alongside, same era.
H. F. Song, N. Laflorencie, S. Rachel, and K. Le Hur, “Entanglement entropy of the two-dimensional heisenberg antiferromagnet,” Phys. Rev. B 83
2011
Cited alongside, same era.
2011
Cited alongside, same era.
2015
Later among the works it cites.
N. Laflorencie, D. J. Luitz, and F. Alet, “Spin-wave approach for entanglement entropies of the J 1 − J 2 {J}_{1}-{J}_{2} heisenberg antiferromagnet on the square lattice,” Phys. Rev. B 92
2015
Later among the works it cites.
2016
Later among the works it cites.
Z. A. Kelly, M. J. Gallagher, and T. M. McQueen, “Electron doping a kagome spin liquid,” Phys. Rev. X 6
2016
Later among the works it cites.
A. Banerjee, C. A. Bridges, J.-Q. Yan, A. A. Aczel, L. Li, M. B. Stone, G. E. Granroth, M. D. Lumsden, Y. Yiu, J. Knolle, S. Bhattacharjee, D. L. Kovrizhin, R. Moessner, D. A. Tennant, D. G. Mandrus, and S. E. Nagler, “Proximate Kitaev quantum spin liquid behaviour in a honeycomb magnet,” Nature Materials 15
2016
Later among the works it cites.
P. Czarnik, M. M. Rams, and J. Dziarmaga, “Variational tensor network renormalization in imaginary time: Benchmark results in the hubbard model at finite temperature,” Phys. Rev. B 94
2016
Later among the works it cites.
2017
Closest in time.
S. Yamashita, Y. Nakazawa, A. Ueda, and H. Mori, “Thermodynamics of the quantum spin liquid state of the single-component dimer mott system κ − h 3 ( Cat − EDT − TTF ) 2 \kappa\text{$-$}{\mathrm{h}}_{3}{(\mathrm{Cat}\text{$-$}\mathrm{EDT}\text{$-$}\mathrm{TTF})}_{2} ,” Phys. Rev. B 95
2017
Closest in time.
H.-H. Tu, “Universal entropy of conformal critical theories on a klein bottle,” Phys. Rev. Lett. 119
2017
Closest in time.
W. Tang, L. Chen, W. Li, X. C. Xie, H.-H. Tu, and L. Wang, “Universal boundary entropies in conformal field theory: A quantum monte carlo study,” Phys. Rev. B 96
2017
Closest in time.
Y.-L. Dong, L. Chen, Y.-J. Liu, and W. Li, “Bilayer linearized tensor renormalization group approach for thermal tensor networks,” Phys. Rev. B 95
2017
Closest in time.
2017
Closest in time.
2017
Closest in time.
J. Dubail, “Entanglement scaling of operators: a conformal field theory approach, with a glimpse of simulability of long-time dynamics in 1 + 1 d 1+1d ,” Journal of Physics A: Mathematical and Theoretical 50
2017
Closest in time.
A. Bazavov, Y. Meurice, S.-W. Tsai, J. Unmuth-Yockey, Li-Ping Yang, and Jin Zhang, “Estimating the central charge from the rényi entanglement entropy,” Phys. Rev. D 96
2017
Closest in time.
M. Binder and T. Barthel, “Symmetric minimally entangled typical thermal states for canonical and grand-canonical ensembles,” Phys. Rev. B 95
2017
Closest in time.
C. Hubig, I. P. McCulloch, and U. Schollwöck, “Generic construction of efficient matrix product operators,” Phys. Rev. B 95
2017
Closest in time.
2017
Closest in time.
S. Ito, N. Kurita, H. Tanaka, S. Ohira-Kawamura, Nakajima K., S. Itoh, K. Kuwahara, and K. Kakurai, “Structure of the magnetic excitations in the spin-1/2 triangular-lattice Heisenberg antiferromagnet Ba3CoSb2O9,” Nature Communications 8
2017
Closest in time.
2017
Closest in time.
Z. Zhu, P. A. Maksimov, Steven R. White, and A. L. Chernyshev, “Topography of spin liquids on a triangular lattice,” Phys. Rev. Lett. 120
2018
Closest in time.
Y. Cui, J. Dai, P. Zhou, P. S. Wang, T. R. Li, W. H. Song, J. C. Wang, L. Ma, Z. Zhang, S. Y. Li, G. M. Luke, B. Normand, T. Xiang, and W. Yu, “Mermin-wagner physics, (h,t) phase diagram, and candidate quantum spin-liquid phase in the spin- 12 triangular-lattice antiferromagnet ba8conb6o24,” Physical Review Materials 2
2018
Closest in time.
L. Chen, D.-W. Qu, S.-S. Gong, J. von Delft, A. Weichselbaum, and W. Li, “ in preparation
2018
Closest in time.
P. Nguyen, T. Devakul, M. G. Halbasch, M. P. Zaletel, and B. Swingle, “Entanglement of purification: from spin chains to holography,” Journal of High Energy Physics 2018
2018
Closest in time.
K. Umemoto and T. Takayanagi, “Entanglement of purification through holographic duality,” Nature Physics 14
2018
Closest in time.