[1] [1] Yang X, Vaswani C, Sundahl C, Mootz M, Luo L, Kang JH, Perakis IE, Eom CB, Wang J. Lightwave-driven gapless superconductivity and forbidden quantum beats by terahertz symmetry breaking. Nat Photonics. 2019;13:707–713.10.1038/s41566-019-0470-y

[2] [2] Fausti D, Tobey RI, Dean N, Kaiser S, Dienst A, Hoffmann MC, Pyon S, Takayama T, Takagi H, Cavalleri A. Light-induced superconductivity in a stripe-ordered cuprate. Science. 2011;331(6014):189–191.10.1126/science.1197294

[3] [3] Luo L, Mootz M, Kang JH, Huang C, Eom K, Lee JW, Vaswani C, Collantes YG, Hellstrom EE, Perakis IE, et al. Quantum coherence tomography of lightwave–controlled superconductivity. Nat Phys. 2022; 10.1038/s41567-022-01827-1.10.1038/s41567-022-01827-1

[4] [4] Yang X, Luo L, Mootz M, Patz A, Bud’ko SL, Canfield PC, Perakis IE, Wang J. Non-equilibrium pair breaking in Ba(Fe1–xCox)2As2 superconductors: Evidence for formation of a photoinduced excitonic state. Phys Rev Lett. 2018;121:267001.

[5] [5] Mootz M, Luo L, Wang J, Perakis E. Visualization and quantum control of light-accelerated condensates by terahertz multi-dimensional coherent spectroscopy. Commun Phys. 2022;5:47.

[6] [6] Patz A, Li T, Ran S, Fernandes RM, Schmalian J, Bud’ko SL, Canfield PC, Perakis IE, Wang J. Ultrafast observation of critical nematic fluctuations and giant magnetoelastic coupling in iron pnictides. Nat Commun. 2014;5:3229.

[7] [7] Li T, Patz A, Mouchliadis L, Yan J, Lograsso TA, Perakis IE, Wang J. Femtosecond switching of magnetism via strongly correlated spin-charge quantum excitations. Nature. 2013;496:69–73.10.1038/nature11934

[8] [8] Patz A, Li T, Liu X, Furdyna JK, Perakis IE, Wang J. Ultrafast probes of nonequilibrium hole spin relaxation in the ferromagnetic semiconductor GaMnAs. Phys Rev B. 2015;91:155108.

[9] [9] Patz A, Li T, Luo L, Yang X, Bud’ko S, Canfield PC, Perakis IE, Wang J. Critical speeding up of nonequilibrium electronic relaxation near nematic phase transition in unstrained Ba(Fe1–xCox)2As2. Phys Rev B. 2017;95:165122.

[10] [10] Luo L, Yang X, Liu X, Liu Z, Vaswani C, Cheng D, Mootz M, Zhao X, Yao Y, Wang C-Z. Ultrafast manipulation of topologically enhanced surface transport driven by mid-infrared and terahertz pulses in Bi2Se3. Nat Commun. 2019;10:607.10.1038/s41467-019-08559-6

[11] [11] Sie EJ, Nyby CM, Pemmaraju CD, Park SJ, Shen X, Yang J, Hoffmann MC, Ofori-Okai BK, Li R, Reid AH, et al. An ultrafast symmetry switch in a Weyl semimetal. Nature. 2019;565:61–66.10.1038/s41586-018-0809-4

[12] [12] Vaswani C, Wang LL, Mudiyanselage DH, Li Q, Lozano PM, Gu GD, Cheng D, Song B, Luo L, Kim RHJ, et al. Light-driven raman coherence as a nonthermal route to ultrafast topology switching in a Dirac semimetal. Phys Rev X. 2020;10:021013.

[13] [13] Yang X, Vaswani C, Sundahl C, Mootz M, Gagel P, Luo L, Kang JH, Orth PP, Perakis IE, Eom CB, et al. Terahertz-light quantum tuning of a metastable emergent phase hidden by superconductivity. Nat Mater. 2018;17:586–591.10.1038/s41563-018-0096-3

[14] [14] Li X, Qiu T, Zhang J, Baldini E, Lu J, Rappe AM, Nelson KA. Terahertz field-induced ferroelectricity in quantum paraelectric SrTiO3. Science. 2019;364:1079–1082.10.1126/science.aaw4913

[15] [15] Aoki H, Tsuji N, Eckstein M, Kollar M, Oka T, Werner P. Nonequilibrium dynamical mean-field theory and its applications. Rev Mod Phys. 2014;86:779–837.10.1103/RevModPhys.86.779

[16] [16] Fradkin E, Kivelson SA, Tranquada JM. Colloquium: Theory of intertwined orders in high temperature superconductors. Rev Mod Phys. 2015;87:457–482.10.1103/RevModPhys.87.457

[17] [17] Vaswani C, Mootz M, Sundahl C, Mudiyanselage DH, Kang JH, Yang X, Cheng D, Huang C, RHJ K, Liu Z, et al. Terahertz second-harmonic generation from lightwave acceleration of symmetry-breaking nonlinear supercurrents. Phys Rev Lett. 2020;124:207003.

[18] [18] Liu Z, Vaswani C, Yang X, Zhao X, Yao Y, Song Z, Cheng D, Shi Y, Luo L, Mudiyanselage D-H, et al. Ultrafast control of excitonic Rashba fine structure by phonon coherence in the metal halide perovskite CH3NH3PbI3. Phys Rev Lett. 2020;124:157401.

[19] [19] Dienst A, Hoffmann MC, Fausti D, Petersen JC, Pyon S, Takayama T, Takagi H, Cavalleri A. Bi-directional ultrafast electric-field gating of interlayer charge transport in a cuprate superconductor. Nat Photonics. 2011;5:485–488.

[20] [20] Yang X, Zhao X, Vaswani C, Sundahl C, Song B, Yao Y, Cheng D, Liu Z, Orth PP, Mootz M, et al. Ultrafast nonthermal terahertz electrodynamics and possible quantum energy transfer in the Nb3Sn superconductor. Phys Rev B. 2018;99:094504.

[21] [21] Kozina M, Fechner M, Marsik P, van Driel T, Glownia JM, Bernhard C, Radovic M, Zhu D, Bonetti S, Staub U, et al. Terahertz-driven phonon upconversion in SrTiO3. Nat Phys. 2019;15:387–392.10.1038/s41567-018-0408-1

[22] [22] Yang X, Luo L, Vaswani C, Zhao X, Yao Y, Cheng D, Liu Z, Kim RHJ, Liu X, Dobrowolska-Furdyna M, et al. Light control of surface–bulk coupling by terahertz vibrational coherence in a topological insulator. NPJ Quantum Mater. 2020;5:13.

[23] [23] Sadigh B, Ozoliņš V. Structural instability and electronic excitations in Nb3Sn. Phys Rev B. 1998;57:2793–2800.

[24] [24] Bilbro G, McMillan WL. Theoretical model of superconductivity and the martensitic transformation in A15 compounds. Phys Rev B. 1976;14:1887–1892.

[25] [25] Kataoka M. Theory of the structural phase transition in A15 compounds. Phys Rev B. 1983;28:2800–2815.

[26] [26] Bhatt RN, McMillan WL. Landau theory of the martensitic transition in A-15 compounds. Phys Rev B. 1976;14:1007–1027.

[27] [27] Batterman BW, Barrett CS. Low-temperature structural transformation in V3Si. Phys Rev. 1966;145:296–301.

[28] [28] Luo L, Chatzakis I, Wang J, Niesler FBP, Wegener M, Koschny T, Soukoulis CM. Broadband terahertz generation from metamaterials. Nat Commun. 2014;5:3055.

[29] [29] Luo L, Men L, Liu Z, Mudryk Y, Zhao X, Yao Y, Park JM, Shinar R, Shinar J, Ho K-M, et al. Ultrafast terahertz snapshots of excitonic Rydberg states and electronic coherence in an organometal halide perovskite. Nat Commun. 2017;8:15565.

[30] [30] Wang J, Graham MW, Ma Y, Fleming GR, Kaindl RA. Ultrafast spectroscopy of midinfrared internal exciton transitions in separated single-walled carbon nanotubes. Phys Rev Lett. 2010;104:177401.

[31] [31] Luo L, Chatzakis I, Patz A, Wang J. Ultrafast terahertz probes of interacting dark excitons in chirality-specific semiconducting single-walled carbon nanotubes. Phys Rev Lett. 2015;114:107402.

[32] [32] Luo L, Liu Z, Yang X, Vaswani C, Cheng D, Park J-M, Wang J. Anomalous variations of spectral linewidth in internal excitonic quantum transitions of ultrafast resonantly excited single-walled carbon nanotubes. Phys Rev Mater. 2019;3:026003.

[33] [33] Bhatt RN. Microscopic theory of the martensitic transition in A-15 compounds based on a three-dimensional band structure. Phys Rev B. 1977;16:1915–1932.

[34] [34] Noolandi J, Sham LJ. Theory of structural phase transition in Nb3Sn. Phys Rev B. 1973;8:2468–2475.

[35] [35] Glasbrenner JK, Mazin II, Jeschke HO, Hirschfeld PJ, Fernandes RM, Valenti R. Effect of magnetic frustration on nematicity and superconductivity in iron chalcogenides. Nat Phys. 2015;11:953–958.

[36] [36] Lederer S, Schattner Y, Berg E, Kivelson SA. Enhancement of superconductivity near a nematic quantum critical point. Phys Rev Lett. 2015;114:097001.10.1103/PhysRevLett.114.097001

[37] [37] Gor’kov LP. Theory of the properties of superconductors with a beta-W structure. Zh Eksp Teor Fiz. 1973;65(4):1658–1676.

[38] [38] Freericks JK, Liu AY, Quandt A, Geerk J. Nonconstant electronic density of states tunneling inversion for A15 superconductors: Nb3Sn. Phys Rev B. 2002;65:224510.

[39] [39] Blöchl PE. Projector augmented-wave method. Phys Rev B. 1994;50:17953.10.1103/PhysRevB.50.17953

[40] [40] Mattheiss LF, Weber W. Electronic structure of cubic V3Si and Nb3Sn. Phys Rev B. 1982;25:2248–2269.