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@article{BM99, title = {Reptation Quantum Monte Carlo: A Method for Unbiased Ground-State Averages and Imaginary-Time Correlations}, author = {Baroni, Stefano and Moroni, Saverio}, journal = {Physical Review Letters}, volume = {82}, issue = {24}, pages = {4745--4748}, numpages = {0}, year = {1999}, month = {Jun}, publisher = {American Physical Society}, doi = {10.1103/PhysRevLett.82.4745}, url = {https://link.aps.org/doi/10.1103/PhysRevLett.82.4745} }
@article{Bi40, doi = {10.1016/0031-8914(40)90166-5}, url = {https://doi.org/10.1016
2F0031-8914
2840
2990166-5}, year = 1940, month = {nov}, publisher = {Elsevier {BV}}, volume = {7}, number = {9}, pages = {869--886}, author = {A. Bijl}, title = {The lowest wave function of the symmetrical many particles system}, journal = {Physica} }
@article{BBe19, doi = {10.4310/acta.2019.v222.n2.a1}, url = {https://doi.org/10.4310
2Facta.2019.v222.n2.a1}, year = 2019, publisher = {International Press of Boston}, volume = {222}, number = {2}, pages = {219--335}, author = {Chiara Boccato and Christian Brennecke and Serena Cenatiempo and Benjamin Schlein}, title = {Bogoliubov theory in the Gross{\textendash}Pitaevskii limit}, journal = {Acta Mathematica} }
@article{Bo47, title={On the theory of superfluidity}, author={Bogolyubov, Nikolay Nikolaevich}, journal={Izv. Akad. Nauk Ser. Fiz.}, volume={11}, pages={23--32}, year={1947} }
@article{BS20, doi = {10.1007/s00023-019-00875-3}, url = {https://doi.org/10.1007
2Fs00023-019-00875-3}, year = 2020, month = {jan}, publisher = {Springer Science and Business Media {LLC}}, volume = {21}, number = {2}, pages = {571--626}, author = {Birger Brietzke and Jan Philip Solovej}, title = {The Second-Order Correction to the Ground State Energy of the Dilute Bose Gas}, journal = {Annales Henri Poincar{\'{e}}} }
@article{CJL20, author={Carlen, Eric A. and Jauslin, Ian and Lieb, Elliott H.}, title={Analysis of a simple equation for the ground state energy of the Bose gas}, journal={Pure and Applied Analysis, in press}, year={2020}, url={http://arxiv.org/abs/1912.04987}}
@article{CJL20b, author={Carlen, Eric A. and Jauslin, Ian and Lieb, Elliott H.}, title={Analysis of a simple equation for the ground state of the Bose gas II: Monotonicity, Convexity and Condensate Fraction}, journal={arXiv preprint, arXiv:2010.13882}, year={2020}, url={http://arxiv.org/abs/2010.13882}}
@article{CW11, doi = {10.1103/physreva.83.063614}, url = {https://doi.org/10.1103
2Fphysreva.83.063614}, year = 2011, month = {jun}, publisher = {American Physical Society ({APS})}, volume = {83}, number = {6}, author = {Yvan Castin and F{\'{e}}lix Werner}, title = {Single-particle momentum distribution of an Efimov trimer}, journal = {Physical Review A} }
@article{Ce95, doi = {10.1103/revmodphys.67.279}, url = {https://doi.org/10.1103
2Frevmodphys.67.279}, year = 1995, month = {apr}, publisher = {American Physical Society ({APS})}, volume = {67}, number = {2}, pages = {279--355}, author = {D. M. Ceperley}, title = {Path integrals in the theory of condensed helium}, journal = {Reviews of Modern Physics} }
@incollection{CK86, doi = {10.1007/978-3-642-82803-4_4}, url = {https://doi.org/10.1007
2F978-3-642-82803-4_4}, year = 1986, publisher = {Springer Berlin Heidelberg}, pages = {145--194}, author = {D. M. Ceperley and M. H. Kalos}, title = {Quantum Many-Body Problems}, booktitle = {Monte Carlo Methods in Statistical Physics} }
@article{CGe10, doi = {10.1103/revmodphys.82.1225}, url = {https://doi.org/10.1103
2Frevmodphys.82.1225}, year = 2010, month = {apr}, publisher = {American Physical Society ({APS})}, volume = {82}, number = {2}, pages = {1225--1286}, author = {Cheng Chin and Rudolf Grimm and Paul Julienne and Eite Tiesinga}, title = {Feshbach resonances in ultracold gases}, journal = {Reviews of Modern Physics} }
@article{CAL09, doi = {10.1103/physreva.79.053640}, url = {https://doi.org/10.1103
2Fphysreva.79.053640}, year = 2009, month = {may}, publisher = {American Physical Society ({APS})}, volume = {79}, number = {5}, author = {R. Combescot and F. Alzetto and X. Leyronas}, title = {Particle distribution tail and related energy formula}, journal = {Physical Review A} }
@article{Di49, doi = {10.1080/14786444908521743}, url = {https://doi.org/10.1080
2F14786444908521743}, year = 1949, month = {may}, publisher = {Informa {UK} Limited}, volume = {40}, number = {304}, pages = {573--578}, author = {R.B. Dingle}, title = {{LI}. The zero-point energy of a system of particles}, journal = {The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science} }
@article{Dy57, doi = {10.1103/physrev.106.20}, url = {https://doi.org/10.1103
2Fphysrev.106.20}, year = 1957, month = {apr}, publisher = {American Physical Society ({APS})}, volume = {106}, number = {1}, pages = {20--26}, author = {F. J. Dyson}, title = {Ground-State Energy of a Hard-Sphere Gas}, journal = {Physical Review} }
@article{Ef70, title={Weakly-bound states of three resonantly-interacting particles}, author={Efimov, V. N.}, year={1970}, journal={Yadernaya Fizika}, volume={12}, pages={1080--1091}}
@article{ESY08, doi = {10.1103/physreva.78.053627}, url = {https://doi.org/10.1103
2Fphysreva.78.053627}, year = 2008, month = {nov}, publisher = {American Physical Society ({APS})}, volume = {78}, number = {5}, author = {L{\'{a}}szl{\'{o}} Erd{\H{o}}s and Benjamin Schlein and Horng-Tzer Yau}, title = {Ground-state energy of a low-density Bose gas: A second-order upper bound}, journal = {Physical Review A} , pages={053627}}
@article{FLe17, doi = {10.1126/science.aai8195}, url = {https://doi.org/10.1126
2Fscience.aai8195}, year = 2017, month = {jan}, publisher = {American Association for the Advancement of Science ({AAAS})}, volume = {355}, number = {6323}, pages = {377--380}, author = {Richard J. Fletcher and Raphael Lopes and Jay Man and Nir Navon and Robert P. Smith and Martin W. Zwierlein and Zoran Hadzibabic}, title = {Two- and three-body contacts in the unitary Bose gas}, journal = {Science} }
@article{FS20, author={Fournais, S{\o}ren and Solovej, Jan Philip}, title={The energy of dilute Bose gases}, journal={The Annals of Mathematics, in press}, year={2020}, url={http://arxiv.org/abs/1904.06164}}
@article{GBC99, doi = {10.1103/physreva.60.5129}, url = {https://doi.org/10.1103
2Fphysreva.60.5129}, year = 1999, month = {dec}, publisher = {American Physical Society ({APS})}, volume = {60}, number = {6}, pages = {5129--5132}, author = {S. Giorgini and J. Boronat and J. Casulleras}, title = {Ground state of a homogeneous Bose gas: A diffusion Monte Carlo calculation}, journal = {Physical Review A} , pages={}}
@article{GS09, doi = {10.1007/s10955-009-9718-0}, url = {https://doi.org/10.1007
2Fs10955-009-9718-0}, year = 2009, month = {apr}, publisher = {Springer Science and Business Media {LLC}}, volume = {135}, number = {5-6}, pages = {915--934}, author = {Alessandro Giuliani and Robert Seiringer}, title = {The Ground State Energy of the Weakly Interacting Bose Gas at High Density}, journal = {Journal of Statistical Physics} }
@article{Ha05, doi = {10.4007/annals.2005.162.1065}, url = {https://doi.org/10.4007
2Fannals.2005.162.1065}, year = 2005, month = {nov}, publisher = {Annals of Mathematics, Princeton U}, volume = {162}, number = {3}, pages = {1065--1185}, author = {Thomas Hales}, title = {A proof of the Kepler conjecture}, journal = {Annals of Mathematics} }
@article{HCe16, doi = {10.1103/physrevb.94.035126}, url = {https://doi.org/10.1103
2Fphysrevb.94.035126}, year = 2016, month = {jul}, publisher = {American Physical Society ({APS})}, volume = {94}, number = {3}, author = {Markus Holzmann and Raymond C. Clay and Miguel A. Morales and Norm M. Tubman and David M. Ceperley and Carlo Pierleoni}, title = {Theory of finite size effects for electronic quantum Monte Carlo calculations of liquids and solids}, journal = {Physical Review B} }
@article{Ja55, doi = {10.1103/physrev.98.1479}, url = {https://doi.org/10.1103
2Fphysrev.98.1479}, year = 1955, month = {jun}, publisher = {American Physical Society ({APS})}, volume = {98}, number = {5}, pages = {1479--1484}, author = {Robert Jastrow}, title = {Many-Body Problem with Strong Forces}, journal = {Physical Review} }
@article{Ka70, doi = {10.1103/physreva.2.250}, url = {https://doi.org/10.1103
2Fphysreva.2.250}, year = 1970, month = {jul}, publisher = {American Physical Society ({APS})}, volume = {2}, number = {1}, pages = {250--255}, author = {M. H. Kalos}, title = {Energy of a Boson Fluid with Lennard-Jones Potentials}, journal = {Physical Review A} }
@article{KXe17, doi = {10.1103/physrevlett.119.143401}, url = {https://doi.org/10.1103
2Fphysrevlett.119.143401}, year = 2017, month = {oct}, publisher = {American Physical Society ({APS})}, volume = {119}, number = {14}, author = {Catherine E. Klauss and Xin Xie and Carlos Lopez-Abadia and Jos{\'{e}} P. D'Incao and Zoran Hadzibabic and Deborah S. Jin and Eric A. Cornell}, title = {Observation of Efimov Molecules Created from a Resonantly Interacting Bose Gas}, journal = {Physical Review Letters} }
@article{KMe06, doi = {10.1038/nature04626}, url = {https://doi.org/10.1038
2Fnature04626}, year = 2006, month = {mar}, publisher = {Springer Science and Business Media {LLC}}, volume = {440}, number = {7082}, pages = {315--318}, author = {T. Kraemer and M. Mark and P. Waldburger and J. G. Danzl and C. Chin and B. Engeser and A. D. Lange and K. Pilch and A. Jaakkola and H.-C. N\"agerl and R. Grimm}, title = {Evidence for Efimov quantum states in an ultracold gas of caesium atoms}, journal = {Nature} }
@book{Kr02, doi = {10.1142/9789812777072_0007}, year = 2002, month = {aug}, publisher = {World Scientific}, pages = {265--328}, author = {E. Krotscheck}, title = {Theory of Correlated Basis Functions}, series = {Series on Advances in Quantum Many-Body Theory}, volume = {4}, editor = {A. Fabrocini, S. Fantoni, E. Krotscheck}}
@article{LHY57, doi = {10.1103/physrev.106.1135}, url = {https://doi.org/10.1103
2Fphysrev.106.1135}, year = 1957, month = {jun}, publisher = {American Physical Society ({APS})}, volume = {106}, number = {6}, pages = {1135--1145}, author = {T. D. Lee and Kerson Huang and C. N. Yang}, title = {Eigenvalues and Eigenfunctions of a Bose System of Hard Spheres and Its Low-Temperature Properties}, journal = {Physical Review} }
@article{Le29, doi = {10.1007/bf01340138}, url = {https://doi.org/10.1007
2Fbf01340138}, year = 1929, month = {nov}, publisher = {Springer Science and Business Media {LLC}}, volume = {56}, number = {11-12}, pages = {778--789}, author = {W. Lenz}, title = {Die Wellenfunktion und Geschwindigkeitsverteilung des entarteten Gases}, journal = {Zeitschrift f\"ur Physik} }
@article{Li63, doi = {10.1103/physrev.130.2518}, url = {https://doi.org/10.1103
2Fphysrev.130.2518}, year = 1963, month = {jun}, publisher = {American Physical Society ({APS})}, volume = {130}, number = {6}, pages = {2518--2528}, author = {Elliott H. Lieb}, title = {Simplified Approach to the Ground-State Energy of an Imperfect Bose Gas}, journal = {Physical Review} }
@book{Li65, author = {Elliott H. Lieb}, title = {The Bose fluid}, series = {Lectures in Theoretical Physics}, volume={VIIC}, year = {1965}, pages = {175--224}, publisher = {University of Colorado Press} }
@article{LL64, doi = {10.1103/physrev.134.a312}, url = {https://doi.org/10.1103
2Fphysrev.134.a312}, year = 1964, month = {apr}, publisher = {American Physical Society ({APS})}, volume = {134}, number = {2A}, pages = {A312--A315}, author = {Elliott H. Lieb and Werner Liniger}, title = {Simplified Approach to the Ground-State Energy of an Imperfect Bose Gas. {III}. Application to the One-Dimensional Model}, journal = {Physical Review} }
@article{LS64, doi = {10.1103/physrev.133.a899}, url = {https://doi.org/10.1103
2Fphysrev.133.a899}, year = 1964, month = {feb}, publisher = {American Physical Society ({APS})}, volume = {133}, number = {4A}, pages = {A899--A906}, author = {Elliott H. Lieb and Arthur Y. Sakakura}, title = {Simplified Approach to the Ground-State Energy of an Imperfect Bose Gas. {II}. Charged Bose Gas at High Density}, journal = {Physical Review} }
@article{LY98, doi = {10.1103/physrevlett.80.2504}, url = {https://doi.org/10.1103
2Fphysrevlett.80.2504}, year = 1998, month = {mar}, publisher = {American Physical Society ({APS})}, volume = {80}, number = {12}, pages = {2504--2507}, author = {Elliott H. Lieb and Jakob Yngvason}, title = {Ground State Energy of the Low Density Bose Gas}, journal = {Physical Review Letters} , pages={}}
@article{MKe14, doi = {10.1038/nphys2850}, url = {https://doi.org/10.1038
2Fnphys2850}, year = 2014, month = {jan}, publisher = {Springer Science and Business Media {LLC}}, volume = {10}, number = {2}, pages = {116--119}, author = {P. Makotyn and C. E. Klauss and D. L. Goldberger and E. A. Cornell and D. S. Jin}, title = {Universal dynamics of a degenerate unitary Bose gas}, journal = {Nature Physics} }
@article{Mc65, title = {Ground State of Liquid ${\mathrm{He}}^{4}$}, author = {McMillan, W. L.}, journal = {Physical Review}, volume = {138}, issue = {2A}, pages = {A442--A451}, numpages = {9}, year = {1965}, month = {Apr}, publisher = {American Physical Society}, doi = {10.1103/PhysRev.138.A442}, url = {https://link.aps.org/doi/10.1103/PhysRev.138.A442} }
@article{NE17, doi = {10.1088/1361-6633/aa50e8}, url = {https://doi.org/10.1088
2F1361-6633
2Faa50e8}, year = 2017, month = {mar}, publisher = {{IOP} Publishing}, volume = {80}, number = {5}, pages = {056001}, author = {Pascal Naidon and Shimpei Endo}, title = {Efimov physics: a review}, journal = {Reports on Progress in Physics}}
@book{Ru99, title={Statistical mechanics: Rigorous results}, author={Ruelle, David}, year={1999}, publisher={World Scientific}}
@article{RMH18, doi = {10.1103/physrevlett.120.205302}, url = {https://doi.org/10.1103
2Fphysrevlett.120.205302}, year = 2018, month = {may}, publisher = {American Physical Society ({APS})}, volume = {120}, number = {20}, author = {Michele Ruggeri and Saverio Moroni and Markus Holzmann}, title = {Nonlinear Network Description for Many-Body Quantum Systems in Continuous Space}, journal = {Physical Review Letters} }
@article{SBe14, doi = {10.1103/physrevlett.112.110402}, url = {https://doi.org/10.1103
2Fphysrevlett.112.110402}, year = 2014, month = {mar}, publisher = {American Physical Society ({APS})}, volume = {112}, number = {11}, author = {D. Hudson Smith and Eric Braaten and Daekyoung Kang and Lucas Platter}, title = {Two-Body and Three-Body Contacts for Identical Bosons near Unitarity}, journal = {Physical Review Letters} }
@article{Su11, doi = {10.1007/s00220-011-1276-z}, url = {https://doi.org/10.1007
2Fs00220-011-1276-z}, year = 2011, month = {jun}, publisher = {Springer Science and Business Media {LLC}}, volume = {305}, number = {3}, pages = {657--710}, author = {Andr{\'{a}}s Süt{\H{o}}}, title = {Ground State at High Density}, journal = {Communications in Mathematical Physics} }
@article{Ta08a, doi = {10.1016/j.aop.2008.03.004, 10.1016/j.aop.2008.03.005, 10.1016/j.aop.2008.03.003}, year = 2008, month = {dec}, publisher = {Elsevier {BV}}, volume = {323}, number = {12}, pages = {2952--2990}, author = {Shina Tan}, journal = {Annals of Physics} }
@article{YY09, doi = {10.1007/s10955-009-9792-3}, url = {https://doi.org/10.1007
2Fs10955-009-9792-3}, year = 2009, month = {jul}, publisher = {Springer Science and Business Media {LLC}}, volume = {136}, number = {3}, pages = {453--503}, author = {Horng-Tzer Yau and Jun Yin}, title = {The Second Order Upper Bound for the Ground Energy of a Bose Gas}, journal = {Journal of Statistical Physics} }
@article{ZB01, doi = {10.1016/s0370-1573(00)00132-0}, url = {https://doi.org/10.1016
2Fs0370-1573
2800
2900132-0}, year = 2001, month = {sep}, publisher = {Elsevier {BV}}, volume = {350}, number = {5-6}, pages = {291--434}, author = {Valentin A. Zagrebnov and Jean-Bernard Bru}, title = {The Bogoliubov model of weakly imperfect Bose gas}, journal = {Physics Reports} }
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