Built on

Kevin T. Tian and Zhenghan Wang, “Generalized Haah Codes and Fracton Models,” arXiv e-prints , arXiv:1902.04543 (2019), arXiv:1902.04543 [quant-ph]
Original
1902
Earlier work this paper cites.
Shriya Pai and Michael Pretko, “Dynamical scar states in driven fracton systems,” arXiv e-prints , arXiv:1903.06173 (2019), arXiv:1903.06173 [cond-mat.stat-mech]
Original
1903
Earlier work this paper cites.
Pablo Sala, Tibor Rakovszky, Ruben Verresen, Michael Knap, and Frank Pollmann, “Ergodicity-breaking arising from Hilbert space fragmentation in dipole-conserving Hamiltonians,” arXiv e-prints , arXiv:1904.04266 (2019), arXiv:1904.04266 [cond-mat.str-el]
Original
1904
Earlier work this paper cites.
Yizhi You, Trithep Devakul, S. L. Sondhi, and F. J. Burnell, “Fractonic Chern-Simons and BF theories,” arXiv e-prints , arXiv:1904.11530 (2019), arXiv:1904.11530 [cond-mat.str-el]
Original
1904
Earlier work this paper cites.
John Sous and Michael Pretko, “Fractons from polarons and hole-doped antiferromagnets: Microscopic realizations,” arXiv e-prints , arXiv:1904.08424 (2019), arXiv:1904.08424 [cond-mat.str-el]
Original
1904
Earlier work this paper cites.
Daniel Bulmash and Maissam Barkeshli, “Gauging fractons: immobile non-Abelian quasiparticles, fractals, and position-dependent degeneracies,” arXiv e-prints , arXiv:1905.05771 (2019), arXiv:1905.05771 [cond-mat.str-el]
Original
1905
Earlier work this paper cites.
A. Prem and D. J. Williamson, “Gauging permutation symmetries as a route to non-Abelian fractons,” arXiv e-prints (2019), arXiv:1905.06309 [cond-mat.str-el]
Original
1905
Earlier work this paper cites.
L. Radzihovsky and M. Hermele, “Fractons from vector gauge theory,” arXiv e-prints (2019), arXiv:1905.06951 [cond-mat.str-el]
Original
1905
Earlier work this paper cites.
A. Dua, I. H. Kim, M. Cheng, and D. J. Williamson, “Sorting topological stabilizer models in three dimensions,” arXiv e-prints (2019), arXiv:1908.08049 [quant-ph]
Original
1908
Earlier work this paper cites.
Meng-Yuan Li and Peng Ye, “Exactly Solvable Fracton Models for Spatially Extended Excitations,” arXiv e-prints , arXiv:1909.02814 (2019), arXiv:1909.02814 [cond-mat.str-el]
Original
1909
Earlier work this paper cites.
Juven Wang and Kai Xu, “Higher-Rank Tensor Field Theory of Non-Abelian Fracton and Embeddon,” arXiv e-prints , arXiv:1909.13879 (2019), arXiv:1909.13879 [hep-th]
Original
1909
Earlier work this paper cites.
Nathan Seiberg, “Field Theories With a Vector Global Symmetry,” arXiv e-prints , arXiv:1909.10544 (2019), arXiv:1909.10544 [cond-mat.str-el]
Original
1909
Earlier work this paper cites.
Juven Wang, Kai Xu, and Shing-Tung Yau, “Higher-Rank Non-Abelian Tensor Field Theory: Higher-Moment or Subdimensional Polynomial Global Symmetry, Algebraic Variety, Noether’s Theorem, and Gauge,” arXiv e-prints , arXiv:1911.01804 (2019), arXiv:1911.01804 [hep-th]
Original
1911
Earlier work this paper cites.
Juven Wang and Shing-Tung Yau, “Non-Abelian Gauged Fractonic Matter Field Theory: New Sigma Models, Superfluids and Vortices,” arXiv e-prints , arXiv:1912.13485 (2019), arXiv:1912.13485 [cond-mat.str-el]
Original
1912
Earlier work this paper cites.
C. N. Yang, “Concept of off-diagonal long-range order and the quantum phases of liquid he and of superconductors,” Rev. Mod. Phys. 34
1962
Earlier work this paper cites.
X. G. Wen and A. Zee, “Compressibility and superfluidity in the fractional-statistics liquid,” Phys. Rev. B 41
1990
Earlier work this paper cites.
Paul M Chaikin and Tom C Lubensky, Principles of condensed matter physics , Vol. 1 (Cambridge university press Cambridge, 2000)
2000
Earlier work this paper cites.
Anthony J. Leggett, “Bose-einstein condensation in the alkali gases: Some fundamental concepts,” Rev. Mod. Phys. 73
2001
Earlier work this paper cites.
Arun Paramekanti, Leon Balents, and Matthew P. A. Fisher, “Ring exchange, the exciton bose liquid, and bosonization in two dimensions,” Phys. Rev. B 66
2002
Earlier work this paper cites.
Claudio Chamon, “Quantum glassiness in strongly correlated clean systems: An example of topological overprotection,” Phys. Rev. Lett. 94
2005
Earlier work this paper cites.
D. Doshi and A. Gromov, arXiv e-prints , arXiv:2005.03015 (2020), arXiv:2005.03015 [cond-mat.str-el]
Original
2005
Earlier work this paper cites.
H. P. Büchler, M. Hermele, S. D. Huber, Matthew P. Fisher, and P. Zoller, “Atomic Quantum Simulator for Lattice Gauge Theories and Ring Exchange Models,” Phys. Rev. Lett. 95
2005
Earlier work this paper cites.

Similar

Maciej Lewenstein, Anna Sanpera, Veronica Ahufinger, Bogdan Damski, Aditi Sen, and Ujjwal Sen, “Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond,” Advances in Physics 56
2007
Cited alongside, same era.
C. J. Pethick and H. Smith, Bose-Einstein Condensation in Dilute Gases (Cambridge University Press, 2008)
2008
Cited alongside, same era.
Immanuel Bloch, Jean Dalibard, and Wilhelm Zwerger, “Many-body physics with ultracold gases,” Rev. Mod. Phys. 80
2008
Cited alongside, same era.
Stefano Giorgini, Lev P. Pitaevskii, and Sandro Stringari, “Theory of ultracold atomic fermi gases,” Rev. Mod. Phys. 80
2008
Cited alongside, same era.
Belén Paredes and Immanuel Bloch, “Minimum instances of topological matter in an optical plaquette,” Phys. Rev. A 77
Original
2008

Then

Gábor B. Halász, Timothy H. Hsieh, and Leon Balents, “Fracton topological phases from strongly coupled spin chains,” Phys. Rev. Lett. 119
2017
Later among the works it cites.
AtMa P. O. Chan, Peng Ye, and Shinsei Ryu, “Braiding with borromean rings in ( 3 + 1 3+1 )-dimensional spacetime,” Phys. Rev. Lett. 121
2018
Later among the works it cites.
D. Bulmash and M. Barkeshli, “Generalized U ⁡ ( 1 ) U(1) Gauge Field Theories and Fractal Dynamics,” arXiv e-prints (2018), arXiv:1806.01855 [cond-mat.str-el]
Original
2018
Later among the works it cites.
K. T. Tian, E. Samperton, and Z. Wang, “Haah codes on general three manifolds,” arXiv e-prints (2018), arXiv:1812.02101 [quant-ph]
Original
2018
Later among the works it cites.
Yizhi You, Daniel Litinski, and Felix von Oppen, “Higher order topological superconductors as generators of quantum codes,” arXiv e-prints , arXiv:1810.10556 (2018), arXiv:1810.10556 [cond-mat.str-el]

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2019

Fractonic Superfluids

Yuan, Jian-Keng, Chen, Shuai A., Ye, Peng

Understand

We propose a superfluid phase of ``many-fracton system'' in which charge and total dipole moments are conserved quantities.

In this work, both microscopic model and long-wavelength effective theory are analyzed.
We start with a second quantized microscopic model and formulate the coherent-state path-integral representation.
With repulsive interactions and positive chemical potential, we calculate various properties of the resulting superfluid state and make comparison with a conventional superfluid.

Built on

Kevin T. Tian and Zhenghan Wang, “Generalized Haah Codes and Fracton Models,” arXiv e-prints , arXiv:1902.04543 (2019), arXiv:1902.04543 [quant-ph]
Original
1902
Earlier work this paper cites.
Shriya Pai and Michael Pretko, “Dynamical scar states in driven fracton systems,” arXiv e-prints , arXiv:1903.06173 (2019), arXiv:1903.06173 [cond-mat.stat-mech]
Original
1903
Earlier work this paper cites.
Pablo Sala, Tibor Rakovszky, Ruben Verresen, Michael Knap, and Frank Pollmann, “Ergodicity-breaking arising from Hilbert space fragmentation in dipole-conserving Hamiltonians,” arXiv e-prints , arXiv:1904.04266 (2019), arXiv:1904.04266 [cond-mat.str-el]
Original
1904
Earlier work this paper cites.
Yizhi You, Trithep Devakul, S. L. Sondhi, and F. J. Burnell, “Fractonic Chern-Simons and BF theories,” arXiv e-prints , arXiv:1904.11530 (2019), arXiv:1904.11530 [cond-mat.str-el]
Original
1904
Earlier work this paper cites.
John Sous and Michael Pretko, “Fractons from polarons and hole-doped antiferromagnets: Microscopic realizations,” arXiv e-prints , arXiv:1904.08424 (2019), arXiv:1904.08424 [cond-mat.str-el]
Original
1904
Earlier work this paper cites.
Daniel Bulmash and Maissam Barkeshli, “Gauging fractons: immobile non-Abelian quasiparticles, fractals, and position-dependent degeneracies,” arXiv e-prints , arXiv:1905.05771 (2019), arXiv:1905.05771 [cond-mat.str-el]
Original
1905
Earlier work this paper cites.
A. Prem and D. J. Williamson, “Gauging permutation symmetries as a route to non-Abelian fractons,” arXiv e-prints (2019), arXiv:1905.06309 [cond-mat.str-el]
Original
1905
Earlier work this paper cites.
L. Radzihovsky and M. Hermele, “Fractons from vector gauge theory,” arXiv e-prints (2019), arXiv:1905.06951 [cond-mat.str-el]
Original
1905
Earlier work this paper cites.
A. Dua, I. H. Kim, M. Cheng, and D. J. Williamson, “Sorting topological stabilizer models in three dimensions,” arXiv e-prints (2019), arXiv:1908.08049 [quant-ph]
Original
1908
Earlier work this paper cites.
Meng-Yuan Li and Peng Ye, “Exactly Solvable Fracton Models for Spatially Extended Excitations,” arXiv e-prints , arXiv:1909.02814 (2019), arXiv:1909.02814 [cond-mat.str-el]
Original
1909
Earlier work this paper cites.
Juven Wang and Kai Xu, “Higher-Rank Tensor Field Theory of Non-Abelian Fracton and Embeddon,” arXiv e-prints , arXiv:1909.13879 (2019), arXiv:1909.13879 [hep-th]
Original
1909
Earlier work this paper cites.
Nathan Seiberg, “Field Theories With a Vector Global Symmetry,” arXiv e-prints , arXiv:1909.10544 (2019), arXiv:1909.10544 [cond-mat.str-el]
Original
1909
Earlier work this paper cites.
Juven Wang, Kai Xu, and Shing-Tung Yau, “Higher-Rank Non-Abelian Tensor Field Theory: Higher-Moment or Subdimensional Polynomial Global Symmetry, Algebraic Variety, Noether’s Theorem, and Gauge,” arXiv e-prints , arXiv:1911.01804 (2019), arXiv:1911.01804 [hep-th]
Original
1911
Earlier work this paper cites.
Juven Wang and Shing-Tung Yau, “Non-Abelian Gauged Fractonic Matter Field Theory: New Sigma Models, Superfluids and Vortices,” arXiv e-prints , arXiv:1912.13485 (2019), arXiv:1912.13485 [cond-mat.str-el]
Original
1912
Earlier work this paper cites.
C. N. Yang, “Concept of off-diagonal long-range order and the quantum phases of liquid he and of superconductors,” Rev. Mod. Phys. 34
1962
Earlier work this paper cites.
X. G. Wen and A. Zee, “Compressibility and superfluidity in the fractional-statistics liquid,” Phys. Rev. B 41
1990
Earlier work this paper cites.
Paul M Chaikin and Tom C Lubensky, Principles of condensed matter physics , Vol. 1 (Cambridge university press Cambridge, 2000)
2000
Earlier work this paper cites.
Anthony J. Leggett, “Bose-einstein condensation in the alkali gases: Some fundamental concepts,” Rev. Mod. Phys. 73
2001
Earlier work this paper cites.
Arun Paramekanti, Leon Balents, and Matthew P. A. Fisher, “Ring exchange, the exciton bose liquid, and bosonization in two dimensions,” Phys. Rev. B 66
2002
Earlier work this paper cites.
Claudio Chamon, “Quantum glassiness in strongly correlated clean systems: An example of topological overprotection,” Phys. Rev. Lett. 94
2005
Earlier work this paper cites.
D. Doshi and A. Gromov, arXiv e-prints , arXiv:2005.03015 (2020), arXiv:2005.03015 [cond-mat.str-el]
Original
2005
Earlier work this paper cites.
H. P. Büchler, M. Hermele, S. D. Huber, Matthew P. Fisher, and P. Zoller, “Atomic Quantum Simulator for Lattice Gauge Theories and Ring Exchange Models,” Phys. Rev. Lett. 95
2005
Earlier work this paper cites.

Similar

Maciej Lewenstein, Anna Sanpera, Veronica Ahufinger, Bogdan Damski, Aditi Sen, and Ujjwal Sen, “Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond,” Advances in Physics 56
2007
Cited alongside, same era.
C. J. Pethick and H. Smith, Bose-Einstein Condensation in Dilute Gases (Cambridge University Press, 2008)
2008
Cited alongside, same era.
Immanuel Bloch, Jean Dalibard, and Wilhelm Zwerger, “Many-body physics with ultracold gases,” Rev. Mod. Phys. 80
2008
Cited alongside, same era.
Stefano Giorgini, Lev P. Pitaevskii, and Sandro Stringari, “Theory of ultracold atomic fermi gases,” Rev. Mod. Phys. 80
2008
Cited alongside, same era.
Belén Paredes and Immanuel Bloch, “Minimum instances of topological matter in an optical plaquette,” Phys. Rev. A 77
Original
2008

Then

Gábor B. Halász, Timothy H. Hsieh, and Leon Balents, “Fracton topological phases from strongly coupled spin chains,” Phys. Rev. Lett. 119
2017
Later among the works it cites.
AtMa P. O. Chan, Peng Ye, and Shinsei Ryu, “Braiding with borromean rings in ( 3 + 1 3+1 )-dimensional spacetime,” Phys. Rev. Lett. 121
2018
Later among the works it cites.
D. Bulmash and M. Barkeshli, “Generalized U ⁡ ( 1 ) U(1) Gauge Field Theories and Fractal Dynamics,” arXiv e-prints (2018), arXiv:1806.01855 [cond-mat.str-el]
Original
2018
Later among the works it cites.
K. T. Tian, E. Samperton, and Z. Wang, “Haah codes on general three manifolds,” arXiv e-prints (2018), arXiv:1812.02101 [quant-ph]
Original
2018
Later among the works it cites.
Yizhi You, Daniel Litinski, and Felix von Oppen, “Higher order topological superconductors as generators of quantum codes,” arXiv e-prints , arXiv:1810.10556 (2018), arXiv:1810.10556 [cond-mat.str-el]

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

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Cited alongside, same era.

Lincoln D. Carr, David DeMille, Roman V. Krems, and Jun Ye, “Cold and ultracold molecules: science, technology and applications,” New Journal of Physics 11

Original

2009

Cited alongside, same era.

Petr Hořava, “Membranes at quantum criticality,” Journal of High Energy Physics 2009

2009

Cited alongside, same era.

Petr Hořava, “Quantum gravity at a lifshitz point,” Phys. Rev. D 79

2009

Cited alongside, same era.

Cenke Xu and Petr Hořava, “Emergent gravity at a lifshitz point from a bose liquid on the lattice,” Phys. Rev. D 81

2010

Cited alongside, same era.

Jean Dalibard, Fabrice Gerbier, Gediminas Juzeliūnas, and Patrik Öhberg, “Colloquium: Artificial gauge potentials for neutral atoms,” Rev. Mod. Phys. 83

2011

Cited alongside, same era.

Jeongwan Haah, “Local stabilizer codes in three dimensions without string logical operators,” Phys. Rev. A 83

2011

Cited alongside, same era.

Jeongwan Haah, Lattice quantum codes and exotic topological phases of matter , Ph.D. thesis, California Institute of Technology (2013)

2013

Cited alongside, same era.

Original

2018