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Bose-Einstein Condensation and Superfluidity
Abstract
This volume introduces the basic concepts of Bose–Einstein condensation and superfluidity. It makes special reference to the physics of ultracold atomic gases; an area in which enormous experimental and theoretical progress has been achieved in the last twenty years. Various theoretical approaches to describing the physics of interacting bosons and of interacting Fermi gases, giving rise to bosonic pairs and hence to condensation, are discussed in detail, both in uniform and harmonically trapped configurations. Special focus is given to the comparison between theory and experiment, concerning various equilibrium, dynamic, thermodynamic, and superfluid properties of these novel systems. The volume also includes discussions of ultracold gases in dimensions, quantum mixtures, and long-range dipolar interactions.
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“atomic gases enjoy an extraordinary level of cleanness and control at the microscopic level, which permits a quantitative comparison with ab initio theoretical calculations.”
From How to exploit driving and dissipation to stabilize and manipulate quantum many-body states (2025) · cites this paper as [1]
In the citing paper
“All together, it is immediate to recognize this Hamiltonian exactly corresponds to the one of a bosonic gas of material particles, in particular of ultracold atoms [1].”
From How to exploit driving and dissipation to stabilize and manipulate quantum many-body states (2025) · cites this paper as [1]
In the citing paper
“for three-dimensional gases, the condition can be expressed in terms of a diluteness condition n 3d a 3 sc ≪ 1, where n 3d is the three-dimensional density and a sc is the atom-atom collisional scattering length”
From How to exploit driving and dissipation to stabilize and manipulate quantum many-body states (2025) · cites this paper as [1]
In the citing paper
“a quite general formulation involves the characteristic kinetic and interaction energies, ε kin = ħ 2 n 2/d /2m ≫ ε int = g nl n or, equivalently, the number of particles per healing length, nξ d ≫ 1”
From How to exploit driving and dissipation to stabilize and manipulate quantum many-body states (2025) · cites this paper as [1]
In the citing paper
“A naive application of the Landau criterion for superfluidity [1,105] would then predict that an impurity moving across a fluid will experience a significant friction force for any value of the flow speed v, with no specific feature at the (equilibrium) speed of sound c s = g nl |ψ| 2 /m.”
From How to exploit driving and dissipation to stabilize and manipulate quantum many-body states (2025) · cites this paper as [1]
In the citing paper
“condensation in a spatially uniform geometry is typically associated [1,107] to the appearance of a sharp and macroscopic k = 0 peak in the momentum distribution n(k) = Ψ † (k) Ψ(k)”
From How to exploit driving and dissipation to stabilize and manipulate quantum many-body states (2025) · cites this paper as [1]
In the citing paper
“In contrast, a weakly interacting bosonic system at low temperatures consists of a Bose-Einstein condensate with a macroscopic population of particles accumulated in the single lowest-energy state (Huang, 1987;Pitaevskii and Stringari, 2016).”
From Topological photonics (2019) · cites this paper as Pitaevskii and Stringari, 2016
In the citing paper
“In propagating geometries, instead, an interaction term of the form”
From Topological photonics (2019) · cites this paper as Pitaevskii and Stringari, 2016
Citations
Cites
Ring, P. A., & Schuck, P. (1980) · Springer eBooks · doi:10.1007/978-3-642-61852-9 · Cited by 5,907
Superconductivity of metals and alloys
L.R. (1967) · Nuclear Physics A · doi:10.1016/0375-9474(67)90080-2 · Cited by 4,130
Physics and Applications of the Josephson Effect
Barone, A. A., & Paternò, G. (1982) · Wiley eBooks · doi:10.1002/352760278x · Cited by 4,072
Quantum Physics in One Dimension
Giamarchi, T. (2003) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780198525004.001.0001 · Cited by 3,631
ter Haar, D. (1966) · Journal of the Franklin Institute · doi:10.1016/0016-0032(66)90362-0 · Cited by 2,382
Gaudin, M. (1983) · International Linear Collider · Cited by 950
Ultracold Atoms in Optical Lattices: Simulating quantum many-body systems
Lewenstein, M., Sanpera, A., & Ahufinger, V. (2012) · doi:10.1093/acprof:oso/9780199573127.001.0001 · Cited by 845
A New Method in the Theory of Superconductivity
Bogoljubov, N. N., Tolmachov, V. V., & Širkov, D. V. (1958) · Fortschritte der Physik · doi:10.1002/prop.19580061102 · Cited by 736
The properties of liquid and solid helium
Mackinnon, L. (1968) · Ultrasonics · doi:10.1016/0041-624x(68)90026-7 · Cited by 724
Chapter II Application of Quantum Mechanics to Liquid Helium
Feynman, R. P. (1955) · Progress in low temperature physics · doi:10.1016/s0079-6417(08)60077-3 · Cited by 722
Research works printed but not linked: 729
- 2013, Eur. Phys. J. D
- 1957, Zh. Eksp. Teor. Fiz.
- 2005, Phys. Rev. A
- 2011, Phys. Rev. Lett.
- 2013, Phys. Rev. Lett.
- 2012, Phys. Rev. Lett.
- 2014, Phys. Rev. Lett.
- 2014, Science
- 2005, Phys. Rev. Lett.
- 1938, Nature
- 2005, Phys. Rev. Lett.
- 2007, Phys, Rev. Lett.
- 1966, Phys. Rev.
- 1958, Phys. Rev.
- 1966, Rev. Mod. Phys.
- 1995, Science
- 1998, Science
- 2000, Phys. Rev. Lett.
- 1975, Sov. Phys. JETP
- 1997, Phys. Rev. Lett.
- 1997, Science
- 1946, J. Phys. USSR
- Anglin, J. R., and Crescimanno, M. (2002). cond-mat/0210063. [14] · arXiv
- 2001, Phys. Rev. Lett.
- 2001, Phys. Rev. A
- 2007, Phys. Rev. A
- 2009, Phys. Today
- 2004, Phys. Rev. A
- 2004, Phys. Rev. Lett.
- 2004, Phys. Rev. Lett.
- 2005, Phys. Rev. Lett.
- 2005, Phys. Rev. Lett.
- 2005, Phys. Rev. Lett.
- 1980, Ann. Israel Phys. Soc.
- 1985, Phys. Rev. Lett.
- 1987, Phys. Rev. A
- 2004, Phys. Rev. Lett.
- Balewski, J., and Pfau, T. (2014). Spectroscopy of Rydberg Atoms in Dense Ultracold Gases. In Quantum Matter at Ultralow Temperatures. Proc. Int. School Physics ‘Enrico Fermi’, Course CXCI (ed. Ketterle, W. Inguscio, M., Roati, G. and Stringari, S.) IOS Press, Amsterdam. [25]
- 2000, Phys. Rev. A
- 2008, Phys. Rep.
- 2012, Chem. Rev.
- 1957, Phys Rev.
- 2001, Phys. Rev. Lett.
- 2004, Phys. Rev. Lett.
- 2004, Phys. Rev. Lett.
- 2012, Phys. Rev. A
- 2003, Phys. Rev. Lett.
- 1999, Phys. Rev. Lett.
- 2000, Europhys. Lett.
- 2001, Eur. Phys. J. B
- 1983, J. Low Temp. Phys.
- 1996, Phys. Rev. Lett.
- 2004, Phys. Rev. A
- 1996, Phys. Rev. Lett.
- 2008, Nat. Phys.
- 2003, Phys. Rev. Lett.
- 2014, Phys. Rev. Lett.
- 1958, Sov. Phys. JETP
- 1961, Sov. Phys. JETP
- 2010, Phys. Rev. Lett.
- 2011, Phys. Rev. Lett.
- 1937, Physica
- 1935, Proc. R. Soc. Lond. A
- 2003, Phys. Rev. Lett.
- 1971, Sov. Phys. JETP
- 1972, Sov. Phys. JETP
- 1999, In the announcement of the Tenth International Conference on Recent Progress in Many-Body Theories.
- 2000, Phys. Rev. A
- 2008, Nature
- 1980, Phys. Rev. B
- 2012, Phys. Rev. Lett.
- 2000, Nature
- 2008, Rev. Mod. Phys.
- 2000, Nature
- 1975, Phys. Rev. B
- 2007, Phys. Rev. A
- 1947, J. Phys. USSR
- 1958, Sov. Phys. JETP
- 1962, Phys. Abh. SU
- 1969, Nuclear Structure
- 1998, Phys. Rev. Lett.
- 1994, Phys. Rev. B
- 2006, Phys. Rev. Lett.
- 1924, Z. Phys.
- 2003, Phys. Rev. Lett.
- 2004, Phys. Rev. Lett.
- 1999, Phys. Rev. Lett.
- 2001, J. Phys. B
- 2002, Phys. Rev. A
- 1997, Phys. Rev. Lett.
- 1995, Phys. Rev. Lett.
- 2000, Phys. Rev. Lett.
- 1999, Phys. Rev. Lett.
- 2001, Phys. Rev. Lett.
- 2005, Phys. Rev. Lett.
- 2007, Phys. Rev. A
- 1999, Phys. Rev. Lett.
- 2002, Proceedings of the International School of Physics ‘Enrico Fermi’, Course CXLVIII, Varenna, 2001.
- 2007, Phys. Rev. Lett.
- 2006, Phys. Rev. Lett.
- 2006, New J. Phys.
- 1997, Phys. Rev. Lett.
- 1998, Found. Phys.
- Phys. Rev. Lett.
- 1966, Sov. Phys. JETP
- 1984, J. Phys. C
- 2006, Phys. Rev. A
- 2003, Phys. Rev. Lett.
- 2005, Phys. Rev. Lett.
- 2011, Phys. Rev. A
- 2005, Phys. Rev. Lett.
- 1968, Rev. Mod. Phys.
- 2013, Rev. Mod. Phys.
- 2004, Rev. Mod. Phys.
- 2004, C. R. Phys.
- 1996, Phys. Rev. Lett.
- 1997, Phys. Rev. A
- 2001, Science
- 2009, Phys. Rev. Lett.
- 2001, Phys. Rev. B
- 1995, Rev. Mod. Phys.
- 1962, Appl. Phys. Lett.
- 2004, Phys. Rev. A
- 2011, Proc. Nat. Acad. Sci.
- 2006, Phys. Rev. A
- 2007, Phys. Rev. B
- 2000, Phys. Rev. E
- 1968, Phys. Rev.
- Chevy, F. (2001). Ph.D. thesis. Laboratoire Kastler Brossel Départeinent de Physique de l’Ecole Normale Supérieure, Paris, France. [14]
- 2006, Phys. Rev. A
- 2006, Phys. Rev. Lett.
- 2002, Phys. Rev. Lett.
- 2000, Phys. Rev. Lett.
- 2001, Phys. Rev. A
- 2004, Science
- 2010, Rev. Mod. Phys.
- 2005, Phys. Rev. A
- 2006, Phys. Rev. Lett.
- 2006, Phys. Rev. A
- 2009, Phys. Rev. Lett.
- 2005, Phys. Rev. Lett.
- 1962, Phys. Rev. Lett.
- 2003, Phys. Rev. Lett.
- 2004, Phys. Rev. A
- 1978, J. Low Temp. Phys.
- 2006, Europhys. Lett.
- 2006, Phys. Rev. A
- 2007, Phys. Rev. Lett.
- 1956, Phys. Rev.
- 1996, J. Res. Natl. Inst. Stand. Technol.
- 1998, J. Low Temp. Phys.
- 2006, Phys. Rev. A
- 2004, Phys. Rev. Lett.
- 2003, Phys. Rev. A
- 2003, Phys. Rev. Lett.
- 2006, Phys. Rev. A
- 2010, Phys. Rev. Lett.
- 1992, Phys, Rev. B
- 1997, Phys. Rev. A
- 1999, Rev. Mod. Phys.
- 1995, Phys. Rev. B
- 1997, Phys. Rev. A
- 1997, Phys. Lett. A
- 2000, Phys. Rev. A
- 1996, Phys. Rev. A
- 2001, Phys. Rev. A
- 2011, Rev. Mod. Phys.
- 1996, Europhys. Lett.
- 1957, Phys. Rev.
- 1995, Phys. Rev. Lett.
- 2014, Phys. Rev. Lett.
- 1950, Proc. R. Soc. Lond. A
- Delehaye, M. et al. (2015). arXiv:1510.06709. [21] · arXiv
- 1999, Science
- 2001, Phys. Rev. Lett.
- 2006, Phys. Rev. A
- 2006, Phys. Rev. Lett.
- 2010, Nat. Phys.
- 1999, Nature
- 2000, Science
- 2012, Nat. Phys.
- 2014, Phys. Rev. Lett.
- 2001, Phys. Rev. Lett.
- 2005, Phys. Rev. A
- 1926, Proc. R. Soc. London A
- 1997, Phys. Rev. A
- 2014, Phys. Rev. Lett.
- 1981, J. Low Temp. Phys.
- 2005, Phys. Rev. Lett.
- 2001, Phys. Rev. Lett.
- 1955, Phys. Rev.
- 1969, Phys. Rev.
- 2005, Phys. Rev. A
- 1965, Phys. Rev. Lett.
- 2002, Phys. Rev. Lett.
- 1996, Phys. Rev. Lett.
- 1975, Sov. Phys. JETP
- 1925, Sitzber. Kgl. Preuss. Akad. Wiss.
- 2007, Phys. Rev. Lett.
- 1996, Phys. Rev. Lett.
200 of 729 shown
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Angle-resolved photoemission studies of quantum materials
Sobota, J. A., He, Y., & Shen, Z. (2021) · Reviews of Modern Physics · doi:10.1103/revmodphys.93.025006 · Cited by 598
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The Mathematics of the Bose Gas and its Condensation
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The BCS–BEC crossover: From ultra-cold Fermi gases to nuclear systems
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Metadata
- Authors
- Pitaevskii, L., & Stringari, S.
- Affiliations
- Senior Researcher, University of Trento
- University of Trento (IT)
- ORCID
- Stringari, Sandro
- Publisher
- Oxford University PressOxford
- Published
- 2016-01-01
- OpenAlex
- W2318727879
- Cited by
- 1,061
- References
- 34
- Citations by year
- 2026: 97 · 2025: 117 · 2024: 105 · 2023: 95 · 2022: 128 · 2021: 142 · 2020: 126 · 2019: 84 · 2018: 81 · 2017: 58 · 2016: 18
- FWCI
- 32.50
- Type
- book
- Language
- en
- Open access
- closed
- Locations
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Cold Atom Physics and Bose-Einstein Condensates
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum, superfluid, helium dynamics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Strong Light-Matter Interactions
- Keywords
- Bose-Einstein condensation, superfluidity, ultracold atoms, interacting bosons, harmonic trap, quantum mixtures, long-range dipolar interactions
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