1932

Abstract

The Casimir force provides a striking example of the effects of quantum fluctuations in a mesoscopic system. Because it arises from the objects’ electromagnetic response, the necessary calculations in quantum field theory are most naturally expressed in terms of electromagnetic scattering from each object. In this review, we illustrate a variety of such techniques, with a focus on those that can be expressed in terms of surface effects, including both idealized boundary conditions and their physical realization in terms of material properties.

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2022-09-26
2025-02-11
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Literature Cited

  1. 1. 
    Casimir HBG. Proc. K. Ned. Akad. Wet. 51:793 1948.)
    [Google Scholar]
  2. 2. 
    Lamoreaux SK. Phys. Rev. Lett. 78:5 1997.)
    [Google Scholar]
  3. 3. 
    Mohideen U, Roy A. Phys. Rev. Lett. 81:4549 1998.)
    [Google Scholar]
  4. 4. 
    Roy A, Lin CY, Mohideen U. Phys. Rev. D 60:111101 1999.)
    [Google Scholar]
  5. 5. 
    Ederth T. Phys. Rev. A 62:062104 2000.)
    [Google Scholar]
  6. 6. 
    Chan HB et al. Science 291:1941 2001.)
    [Google Scholar]
  7. 7. 
    Chen F, Mohideen U, Klimchitskaya GL, Mostepanenko VM. Phys. Rev. Lett. 88:101801 2002.)
    [Google Scholar]
  8. 8. 
    Bressi B, Carugno G, Onofrio R, Ruoso G. Phys. Rev. Lett. 88:041804 2002.)
    [Google Scholar]
  9. 9. 
    Druzhinina V, DeKieviet M. Phys. Rev. Lett. 91:193202 2003.)
    [Google Scholar]
  10. 10. 
    Harber DM, Obrecht JM, McGuirk JM, Cornell EA. Phys. Rev. A 72:033610 2005.)
    [Google Scholar]
  11. 11. 
    Chen F, Klimchitskaya GL, Mostepanenko VM, Mohideen U. Phys. Rev. Lett. 97:170402 2006.)
    [Google Scholar]
  12. 12. 
    Krause DE, Decca RS, López D, Fischbach E. Phys. Rev. Lett. 98:050403 2007.)
    [Google Scholar]
  13. 13. 
    Decca RS et al. Phys. Rev. D 75:077101 2007.)
    [Google Scholar]
  14. 14. 
    Chen F, Klimchitskaya GL, Mostepanenko VM, Mohideen U. Phys. Rev. B 76:035338 2007.)
    [Google Scholar]
  15. 15. 
    Munday JN, Capasso F. Phys. Rev. A 75:060102(R) 2007.)
    [Google Scholar]
  16. 16. 
    Chan HB et al. Phys. Rev. Lett. 101:030401 2008.)
    [Google Scholar]
  17. 17. 
    Kim WJ et al. Phys. Rev. A 78:020101(R) 2008.)
    [Google Scholar]
  18. 18. 
    Palasantzas G, van Zwol PJ, De Hosson JTM. Appl. Phys. Lett. 93:121912 2008.)
    [Google Scholar]
  19. 19. 
    Munday JN, Capasso F, Parsegian VA. Nature 457:170 2009.)
    [Google Scholar]
  20. 20. 
    Bimonte G, López D, Decca RS. Phys. Rev. B 93:184434 2016.)
    [Google Scholar]
  21. 21. 
    Capasso F, Munday JN, Iannuzzi D, Chan HB IEEE J. Sel. Top. Quant. 13:400 2007.)
    [Google Scholar]
  22. 22. 
    Rahi SJ et al. Phys. Rev. D 80:085021 2009.)
    [Google Scholar]
  23. 23. 
    Jaffe RL. Phys. Rev. D 72:021301 2005.)
    [Google Scholar]
  24. 24. 
    Milton KA, Shajesh KV, Fulling SA, Parashar P. Phys. Rev. D 89:064027 2014.)
    [Google Scholar]
  25. 25. 
    Riess AG et al. Astron. J. 116:1009 1998.)
    [Google Scholar]
  26. 26. 
    Perlmutter S et al. Astrophys. J. 517:565 1999.)
    [Google Scholar]
  27. 27. 
    Weinberg S. Phys. Rev. Lett. 59:2607 1987.)
    [Google Scholar]
  28. 28. 
    Tsujikawa S. Class. Quantum Gravity 30:214003 2013.)
    [Google Scholar]
  29. 29. 
    Leonhardt U. Ann. Phys. 411:167973 2019.)
    [Google Scholar]
  30. 30. 
    Derjaguin B. Phys. Rev. D 69:1435 1934.)
    [Google Scholar]
  31. 31. 
    Parsegian VA. Van der Waals Forces: A Handbook for Biologists, Chemists, Engineers, and Physicists. Cambridge, UK: Cambridge Univ. Press 2005.)
    [Google Scholar]
  32. 32. 
    Lifshitz EM. Sov. Phys. JETP 2:73 1956.)
    [Google Scholar]
  33. 33. 
    Fosco CD, Lombardo FC, Mazzitelli FD. Phys. Rev. D 84:105031 2011.)
    [Google Scholar]
  34. 34. 
    Emig T, Hanke A, Golestanian R, Kardar M. Phys. Rev. Lett. 87:260402 2001.)
    [Google Scholar]
  35. 35. 
    Neto PAM, Lambrecht A, Reynaud S. Phys. Rev. A 72:012115 2005.)
    [Google Scholar]
  36. 36. 
    Bimonte G, Emig T, Jaffe RL, Kardar M. Europhys. Lett. 97:50001 2012.)
    [Google Scholar]
  37. 37. 
    Bimonte G, Emig T, Kardar M. Appl. Phys. Lett. 100:074110 2012.)
    [Google Scholar]
  38. 38. 
    Krüger M, Golyk VA, Bimonte G, Kardar M. Europhys. Lett. 104:41001 2013.)
    [Google Scholar]
  39. 39. 
    Teo LP. Phys. Rev. D 88:045019 2013.)
    [Google Scholar]
  40. 40. 
    Banishev AA et al. Phys. Rev. Lett. 110:250403 2013.)
    [Google Scholar]
  41. 41. 
    Voronovich A. Waves Random Media 4:337 1994.)
    [Google Scholar]
  42. 42. 
    Teo LP, Bordag M, Nikolaev V. Phys. Rev. D 84:125037 2011.)
    [Google Scholar]
  43. 43. 
    Bimonte G et al. Universe 7:93 2021.)
    [Google Scholar]
  44. 44. 
    Bimonte G. Phys. Rev. D 98:105004 2018.)
    [Google Scholar]
  45. 45. 
    Polder D, Van Hove M. Phys. Rev. B 4:3303 1971.)
    [Google Scholar]
  46. 46. 
    Golyk VA, Krüger M, McCauley AP, Kardar M. Europhys. Lett. 101:034002 2013.)
    [Google Scholar]
  47. 47. 
    Pendry JB. J. Phys. Condens. Matter 11:6621 1999.)
    [Google Scholar]
  48. 48. 
    Majumdar A. Annu. Rev. Mater. Sci. 29:505 1999.)
    [Google Scholar]
  49. 49. 
    Shen S, Narayanaswamy A, Chen G. Nano Lett. 9:2909 2009.)
    [Google Scholar]
  50. 50. 
    Rousseau E et al. Nat. Photonics 3:514 2009.)
    [Google Scholar]
  51. 51. 
    Krüger M, Emig T, Kardar M. Phys. Rev. Lett. 106:210404 2011.)
    [Google Scholar]
  52. 52. 
    Sasihithlu K, Narayanaswamy A. Phys. Rev. B 83:161406 2011.)
    [Google Scholar]
  53. 53. 
    Otey C, Fan S Phys. Rev. B 84:245431 2011.)
    [Google Scholar]
  54. 54. 
    Casimir HBG, Polder D. Phys. Rev. 73:360 1948.)
    [Google Scholar]
  55. 55. 
    Bimonte G, Emig T, Kardar M. Phys. Rev. D 90:081702 2014.)
    [Google Scholar]
  56. 56. 
    Bimonte G, Emig T, Jaffe RL, Kardar M. Phys. Rev. A 94:022509 2016.)
    [Google Scholar]
  57. 57. 
    Waterman PC. Proc. IEEE 53:805 1965.)
    [Google Scholar]
  58. 58. 
    Waterman PC. Phys. Rev. D 3:825 1971.)
    [Google Scholar]
  59. 59. 
    Kenneth O, Klich I. Phys. Rev. Lett. 97:160401 2006.)
    [Google Scholar]
  60. 60. 
    Kats EI. Sov. Phys. JETP 46:109 1977.)
    [Google Scholar]
  61. 61. 
    Jaekel MT, Reynaud S. J. Phys. I 1:1395 1991.)
    [Google Scholar]
  62. 62. 
    Genet C, Lambrecht A, Reynaud S. Phys. Rev. A 67:043811 2003.)
    [Google Scholar]
  63. 63. 
    Lambrecht A, Maia Neto PA, Reynaud S. New J. Phys. 8:243 2006.)
    [Google Scholar]
  64. 64. 
    Balian R, Duplantier B. Ann. Phys. N. Y. 104:300 1977.)
    [Google Scholar]
  65. 65. 
    Balian R, Duplantier B. Ann. Phys. N. Y. 112:165 1978.)
    [Google Scholar]
  66. 66. 
    Krein MG. Mat. Sborn. 33:597 1953.)
    [Google Scholar]
  67. 67. 
    Krein MG. Sov. Math. Dokl. 3:707 1962.)
    [Google Scholar]
  68. 68. 
    Birman MS, Krein MG. Sov. Math. Dokl. 3:740 1962.)
    [Google Scholar]
  69. 69. 
    Henseler M, Wirzba A, Guhr T. Ann. Phys. N. Y. 258:286 1997.)
    [Google Scholar]
  70. 70. 
    Wirzba A. Phys. Rep. 309:1 1999.)
    [Google Scholar]
  71. 71. 
    Bulgac A, Wirzba A. Phys. Rev. Lett. 87:120404 2001.)
    [Google Scholar]
  72. 72. 
    Bulgac A, Magierski P, Wirzba A. Phys. Rev. D 73:025007 2006.)
    [Google Scholar]
  73. 73. 
    Wirzba A. J. Phys. A 41:164003 2008.)
    [Google Scholar]
  74. 74. 
    Graham N, Quandt M, Weigel H. Spectral Methods in Quantum Field Theory. Berlin: Springer 2009.)
    [Google Scholar]
  75. 75. 
    Bordag M, Robaschik D, Wieczorek E. Ann. Phys. N. Y. 165:192 1985.)
    [Google Scholar]
  76. 76. 
    Robaschik D, Scharnhorst K, Wieczorek E. Ann. Phys. N. Y. 174:401 1987.)
    [Google Scholar]
  77. 77. 
    Li H, Kardar M. Phys. Rev. Lett. 67:3275 1991.)
    [Google Scholar]
  78. 78. 
    Li H, Kardar M. Phys. Rev. A 46:6490 1992.)
    [Google Scholar]
  79. 79. 
    Golestanian R, Kardar M. Phys. Rev. Lett. 78:3421 1997.)
    [Google Scholar]
  80. 80. 
    Golestanian R, Kardar M. Phys. Rev. A 58:1713 1998.)
    [Google Scholar]
  81. 81. 
    Emig T, Hanke A, Golestanian R, Kardar M. Phys. Rev. A 67:022114 2003.)
    [Google Scholar]
  82. 82. 
    Büscher R, Emig T. Phys. Rev. Lett. 94:133901 2005.)
    [Google Scholar]
  83. 83. 
    Langbein D. Theory of van der Waals Attraction. Berlin/Heidelberg: Springer 1974.)
    [Google Scholar]
  84. 84. 
    Emig T, Jaffe RL, Kardar M, Scardicchio A. Phys. Rev. Lett. 96:080403 2006.)
    [Google Scholar]
  85. 85. 
    Emig T, Graham N, Jaffe R, Kardar M. Phys. Rev. Lett. 99:170403 2007.)
    [Google Scholar]
  86. 86. 
    Emig T. J. Stat. Mech. 0804:P04007 2008.)
    [Google Scholar]
  87. 87. 
    Emig T, Graham N, Jaffe R, Kardar M. Phys. Rev. D 77:025005 2008.)
    [Google Scholar]
  88. 88. 
    Maghrebi MF. Phys. Rev. D 83:045004 2011.)
    [Google Scholar]
  89. 89. 
    Rahi SJ, Kardar M, Emig T. Phys. Rev. Lett. 105:070404 2010.)
    [Google Scholar]
  90. 90. 
    Kenneth O, Klich I. Phys. Rev. B 78:014103 2008.)
    [Google Scholar]
  91. 91. 
    Rahi SJ, Emig T, Jaffe RL, Kardar M. Phys. Rev. A 78:012104 2008.)
    [Google Scholar]
  92. 92. 
    Teo LP. Phys. Rev. D 87:045021 2013.)
    [Google Scholar]
  93. 93. 
    Maia Neto PA, Lambrecht A, Reynaud S Phys. Rev. A 78:012115 2008.)
    [Google Scholar]
  94. 94. 
    Canaguier-Durand A et al. Phys. Rev. Lett. 102:230404 2009.)
    [Google Scholar]
  95. 95. 
    Graham N. Phys. Rev. D 87:105004 2013.)
    [Google Scholar]
  96. 96. 
    Graham N et al. Phys. Rev. D 81:061701 2010.)
    [Google Scholar]
  97. 97. 
    Emig T, Graham N, Jaffe RL, Kardar M. Phys. Rev. A 79:054901 2009.)
    [Google Scholar]
  98. 98. 
    Maghrebi MF et al. PNAS 108:6867 2011.)
    [Google Scholar]
  99. 99. 
    Kabat D, Karabali D, Nair VP. Phys. Rev. D 81:125013 2010.)
    [Google Scholar]
  100. 100. 
    Maghrebi MF, Jaffe RL, Abravanel R. Phys. Rev. D 84:061701 2011.)
    [Google Scholar]
  101. 101. 
    Gies H, Langfeld K, Moyaerts L. J. High Energy Phys. 0306:018 2003.)
    [Google Scholar]
  102. 102. 
    Meixner J. Z. Naturforsch. 3:506 1948.)
    [Google Scholar]
  103. 103. 
    Emig T, Graham N. Phys. Rev. A 94:032509 2016.)
    [Google Scholar]
  104. 104. 
    Graham N et al. Phys. Rev. D 83:125007 2011.)
    [Google Scholar]
  105. 105. 
    Maghrebi MF, Graham N. Europhys. Lett. 95:14001 2011.)
    [Google Scholar]
  106. 106. 
    Blose EN, Ghimire B, Graham N, Stratton-Smith J. Phys. Rev. A 91:012501 2015.)
    [Google Scholar]
  107. 107. 
    Bateman H. Trans. Am. Math. Soc. 33:817 1931.)
    [Google Scholar]
  108. 108. 
    Casimir HBG. Physica XIX:846 1953.)
    [Google Scholar]
  109. 109. 
    Boyer TH. Phys. Rev. 174:1764 1968.)
    [Google Scholar]
  110. 110. 
    Milton KA, DeRaad LL Jr., Schwinger JS. Ann. Phys. 115:388 1978.)
    [Google Scholar]
  111. 111. 
    Milton KA. The Casimir Effect: Physical Manifestations of Zero-Point Energy. Singapore: World Sci 2001.)
    [Google Scholar]
  112. 112. 
    Abalo EK, Milton KA, Kaplan L. J. Phys. A 45:425401 2012.)
    [Google Scholar]
  113. 113. 
    Kolomeisky EB, Straley JP, Langsjoen LS, Zaidi H. J. Phys. A 43:385402 2010.)
    [Google Scholar]
  114. 114. 
    Cavalcanti RM. Phys. Rev. D 69: 065015 2004.)
    [Google Scholar]
  115. 115. 
    Hertzberg MP, Jaffe RL, Kardar M, Scardicchio A. Phys. Rev. Lett. 95:250402 2005.)
    [Google Scholar]
  116. 116. 
    Jaffe RL, Scardicchio A. Phys. Rev. Lett. 92:070402 2004.)
    [Google Scholar]
  117. 117. 
    Graham N, Quandt M, Weigel H. Phys. Lett. B 726:846 2013.)
    [Google Scholar]
  118. 118. 
    Bordag M, Khusnutdinov N. Phys. Rev. D 77:085026 2008.)
    [Google Scholar]
  119. 119. 
    Barton G. J. Phys. A 37:1011 2001.)
    [Google Scholar]
  120. 120. 
    Leonhardt U, Simpson WMR. Phys. Rev. D 84:081701 2011.)
    [Google Scholar]
  121. 121. 
    Deutsch D, Candelas P. Phys. Rev. D 20:3063 1979.)
    [Google Scholar]
  122. 122. 
    Candelas P. Ann. Phys. 143:241 1982.)
    [Google Scholar]
  123. 123. 
    Symanzik K. Nucl. Phys. B 190:1 1981.)
    [Google Scholar]
  124. 124. 
    Graham N et al. Phys. Lett. B 572:196 2003.)
    [Google Scholar]
  125. 125. 
    Graham N et al. Nucl. Phys. B 645:49 2002.)
    [Google Scholar]
  126. 126. 
    Graham N et al. Nucl. Phys. B 677:379 2004.)
    [Google Scholar]
  127. 127. 
    Schaden M, Spruch L. Phys. Rev. A 58:935 1998.)
    [Google Scholar]
  128. 128. 
    Reid MTH, Rodriguez AW, White J, Johnson SG. Phys. Rev. Lett. 103::040401 ( 2009.)
    [Google Scholar]
  129. 129. 
    Reid MTH, White J, Johnson SG. Phys. Rev. A 88:022514 2013.)
    [Google Scholar]
  130. 130. 
    Bimonte G, Emig T. Universe 7:225 2021.)
    [Google Scholar]
  131. 131. 
    Harrington R. Time-Harmonic Electromagnetic Fields. New York: Wiley 2001.)
    [Google Scholar]
  132. 132. 
    Agarwal GS. Phys. Rev. A 11:230 1975.)
    [Google Scholar]
  133. 133. 
    Brevik I, Ellingsen SA, Milton KA. New J. Phys. 8:236 2006.)
    [Google Scholar]
  134. 134. 
    Klimchitskaya GL, Mostepanenko VM. Contemp. Phys. 47:131 2006.)
    [Google Scholar]
  135. 135. 
    Canaguier-Durand A, Neto PAM, Lambrecht A, Reynaud S. Phys. Rev. Lett. 104:040403 2010.)
    [Google Scholar]
  136. 136. 
    Bimonte G. Phys. Rev. Lett. 112:240401 2014.)
    [Google Scholar]
  137. 137. 
    Bordag M, Klimchitskaya GL, Mohideen U, Mostepanenko VM. Advances in the Casimir Effect Oxford, UK: Oxford Univ. Press 2009.)
    [Google Scholar]
  138. 138. 
    Boström M, Sernelius BE. Phys. Rev. Lett. 84:4757 2000.)
    [Google Scholar]
  139. 139. 
    Høye JS, Brevik I, Aarseth JB, Milton KA. Phys. Rev. E 67:056116 2003.)
    [Google Scholar]
  140. 140. 
    Bimonte G. Phys. Rev. A 78:062101 2008.)
    [Google Scholar]
  141. 141. 
    Zandi R, Emig T, Mohideen U. Phys. Rev. B 81:195423 2010.)
    [Google Scholar]
  142. 142. 
    Abrikosov AA, Gorkov LP, Dzyaloshinski IE. Methods of Quantum Field Theory in Statistical Physics. New York: Dover 1975.)
    [Google Scholar]
  143. 143. 
    Landau LD, Lifshitz EM. Statistical Physics Part 1 , Vol. 5 Course of Theoretical Physics Oxford, UK: Pergamon 1980.)
    [Google Scholar]
  144. 144. 
    Bezerra VB, Klimchitskaya GL, Mostepanenko VM. Phys. Rev. A 65:052113 2002.)
    [Google Scholar]
  145. 145. 
    Mostepanenko VM. Universe 7:84 2021.)
    [Google Scholar]
  146. 146. 
    Sushkov AO, Kim WJ, Dalvit DAR, Lamoreaux SK. Nat. Phys. 7:230 2011.)
    [Google Scholar]
  147. 147. 
    Banishev AA, Klimchitskaya GL, Mostepanenko VM, Mohideen U. Phys. Rev. Lett. 110:137401 2013.)
    [Google Scholar]
  148. 148. 
    Yannopapas V, Tzavala M, Tsetseris L. Phys. Rev. B 88:155413 2013.)
    [Google Scholar]
  149. 149. 
    Castillo-Garza R et al. Phys. Rev. B 88:075402 2013.)
    [Google Scholar]
  150. 150. 
    Behunin RO et al. Phys. Rev. A 90:062115 2014.)
    [Google Scholar]
  151. 151. 
    Geyer B, Klimchitskaya GL, Mostepanenko VM. Phys. Rev. A 67:062102 2003.)
    [Google Scholar]
  152. 152. 
    Cherman A, Cohen TD, Dulaney TR, Lynch EM. Phys. Rev. D 72:094015 2005.)
    [Google Scholar]
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