Abstract
We calculate the rate at which bubbles form by quantum tunneling in liquid helium-3 and helium-4 at negative pressure. We find that quantum tunneling should be observable at temperatures below about 0.1 K in helium-3 and 0.2 K in helium-4, and at pressures close to the critical negative pressure at which the liquid becomes unstable against long wavelength density fluctuations.
Similar content being viewed by others
References
J. W. Beams,Phys. Rev. 104, 880 (1956).
For a recent discussion of results, see H. J. Maris,J. Low Temp. Phys. 93, 1069 (1993).
D. N. Sinha, J. S. Semura, and L. C. Brodie,Phys. Rev. A 26, 1048 (1982).
D. Lezak, L. C. Brodie, J. S. Semura, and E. Bodegom,Phys. Rev. B 37, 150 (1988).
V. L. Tsymbalenko,JETP Lett. 50, 99 (1989), andJ. Low Temp. Phys. 88, 55 (1992).
P. Alpern, T. Benda, and P. Leiderer,Phys. Rev. Lett. 49, 1267 (1982).
J. Bodensohn and P. Leiderer,Phys. Rev. Lett. 65, 1368 (1990).
T. Satoh, M. Morishita, M. Ogata, and S. Katoh,Phys. Rev. Lett. 69, 335 (1992); T. Satoh, M. Morishita, S. Katoh, K. Hatakeyama, and M. Takashima, inProceedings of the 20th International Conference on Low Temperature Physics, Eugene, Oregon,Physica B 194–196, 397 (1994).
R. D. Finch, R. Kagiwada, M. Barmatz, and I. Rudnick,Phys. Rev. 134, A1425 (1964); R. D. Finch and T. G. Wang,J. Acoust. Soc. Am. 39, 511 (1966); R. D. Finch, T. G. Wang, R. Kagiwada, M. Barmatz, and I. Rudnick,J. Acoust. Soc. Am. 40, 211 (1966); P.D. Jarman and K. J. Taylor,J. Low Temp. Phys. 2, 389 (1970); M. H. Edwards, R. M. Cleary, and W. M. Fairbank, inQuantum Fluids (North-Holland, Amsterdam, 1966), p. 140; A. Mossé, M. L. Chu, and R. D. Finch,J. Acoust. Soc. Am. 47, 1258 (1970); P. L. Marston,J. Low Temp. Phys. 25, 383 (1976); R. D. Finch and M. L. Chu,Phys. Rev. 161, 202 (1967); P. M. McConnell, M. L. Chu, and R. D. Finch,Phys. Rev. A 1, 411 (1970); H. C. Dhingra and R. D. Finch,J. Acoust. Soc. Am. 59, 19 (1976).
J. A. Nissen, E. Bodegom, L. C. Brodie, and J. S. Semura,Adv. Cryo. Engineering 33, 999 (1988);Phys. Rev. B 40, 617 (1989).
Q. Xiong and H. J. Maris,J. Low Temp. Phys. 82, 105 (1991).
M. S. Pettersen, S. Balibar, and H. J. Maris, inProceedings of the 20th International Conference on Low Temperature Physics, Eugene, Oregon,Physica B 194–196, 575 (1994);Phys. Rev. B 49, 12062 (1994).
L. B. Lurio, T. A. Rabedeau, P. S. Pershan, I. F. Silvera, M. Deutsch, S. D. Kosowsky, and B. M. Ocko,Phys. Rev. B 48, 9644 (1993).
H. J. Maris,J. Low Temp. Phys. 94, 111 (1994).
L. D. Landau and I. M. Lifshitz,Quantum Mechanics (Pergamon, Oxford, 1965), chapter 7.
T. Banks and C. Bender,Phys. Rev. 8, 3366 (1973).
S. Coleman,Phys. Rev. D 15, 2929 (1977).
C. G. Callan and S. Coleman,Phys. Rev. D 16, 1762 (1977).
I. M. Lifshitz and Y. Kagan,Sov. Phys. JETP 35, 206 (1972).
H. J. Maris and Q. Xiong,Phys. Rev. Lett. 63, 1078 (1989).
Q. Xiong and H. J. Maris,J. Low Temp. Phys. 77, 347 (1989).
See, for example, J. Wilks,Liquid and Solid Helium (Oxford, London, 1967), chapter 18.
B. M. Abraham, D. Chung, Y. Eckstein, J. B. Ketterson, and P. R. Roach,J. Low Temp. Phys. 6, 521 (1972).
M. Iino, M. Suzuki, and A. Ikushima,J. Low Temp. Phys. 61, 155 (1985).
S. Stringari and J. Treiner,Phys. Rev. B 36, 8369 (1987).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Maris, H.J. Theory of quantum nucleation of bubbles in liquid helium. J Low Temp Phys 98, 403–424 (1995). https://doi.org/10.1007/BF00752276
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF00752276