Question: "Going Under" is a song by American rock band Evanescence recorded for their debut studio album, which 2003 album, after the group signed to Wind-up in January 2001?

Context articles: Bring Me to Life
Evanescence (Evanescence album)
Call Me When You're Sober
Fallen (Evanescence album)
My Immortal
Sweet Sacrifice
Everybody's Fool
Lost in Paradise (song)
Lithium (Evanescence song)
Going Under

"Bring Me to Life" is a song by American rock band Evanescence recorded for their debut studio album "Fallen" (2003).
 Wind-up released it as the lead single from the album on April 22, 2003.
 The track was written by group members Amy Lee, Ben Moody, and David Hodges and produced by Dave Fortman.
 It also features uncredited guest vocals from Paul McCoy of the band 12 Stones.
 "Bring Me to Life" is a nu metal, gothic metal and rap rock song.
 According to Lee, "Bring Me to Life" has several meanings and inspirations; its subjects are an incident in a restaurant, open-mindedness, and waking up to the things which are missing in the protagonist's life.
 Lee later revealed that the song was inspired by her long-time friend and husband Josh Hartzler.
Evanescence is the third studio album by American rock band Evanescence.
 It was released on October 7, 2011, by Wind-up Records.
 The band began writing the album in June 2009.
 Its release was delayed several times; on February 22, 2010, the band entered the studio with producer Steve Lillywhite but later stopped working with him because he "wasn't the right fit".
 At the time the album was scheduled for an August or September 2010 release, but Lee later announced that Evanescence had suspended recording to write more material.
 On April 11, 2011, the band returned to the studio with producer Nick Raskulinecz.
"Call Me When You're Sober" is a song by American rock band Evanescence recorded for their second studio album "The Open Door".
 Wind-up Records released it as the album's lead single on September 4, 2006; this release was preceded by the song's Internet leak and its earlier distribution to radio stations on July 31.
 The track was written by group members Amy Lee and Terry Balsamo, while Dave Fortman handled its production.
 Lee revealed that the song was inspired by an unsuccessful relationship, which was later confirmed to be the one with Shaun Morgan, lead singer of the band Seether, who had undergone rehabilitation treatment for battling addictions at the time of its release as a single.
 The track is a nu metal, symphonic rock and electropop piano ballad which lyrically talks about a female protagonist terminating a relationship with a love interest who suffers from an addiction.
Fallen is the debut studio album by American rock band Evanescence.
 After releasing several EPs and a demo CD, the group signed to Wind-up in January 2001.
 Writing songs for "Fallen" started near the time of the band's formation; several of the songs that would feature on the album appeared on the band's earlier releases.
 "Fallen" was recorded between August and December 2002 in several locations, including Conway Recording Studios in Hollywood, California.
 This was followed by a two-week period of mixing at Conway Recording Studios in North Hollywood.
"My Immortal" is a song by American rock band Evanescence from their debut studio album "Fallen" (2003).
 It was released by Wind-up Records on December 8, 2003, as the third single from the album.
 The song was written by guitarist Ben Moody, lead singer Amy Lee and keyboardist David Hodges, and it was produced by Moody and Dave Fortman.
 Various versions of "My Immortal" were recorded; one of them was included on the demo album "Origin" (2000) and another on the EP release "Mystary" (2003).
 The version originally appearing on "Origin" was later included on "Fallen", featuring piano with backing strings.
 The version of the song released as a single was dubbed the "band version" because of the complete band's performance of the bridge and final chorus of the song.
"Sweet Sacrifice" is a song by American rock band Evanescence.
 It was released on May 25, 2007, as the third single from their second studio album, "The Open Door".
 It was written by Amy Lee and Terry Balsamo while the production was handled by Dave Fortman.
 "All That I'm Living For" was initially planned to be the third single, as announced at live concerts and online.
 However, due to requests from the band and fan reaction, Wind-up reconsidered its release and announced that "Sweet Sacrifice" would be the band's third single from "The Open Door".
 Evanescence's lead singer Amy Lee wrote the song about the abusive relationship that inspired all of the songs on the group's debut record "Fallen" (2003).
"Everybody's Fool" is a song by American rock band Evanescence.
 Wind-up Records released the song on June 7, 2004, as the fourth and final single from their debut studio album, "Fallen".
 It was written by Amy Lee and Ben Moody and it was produced by Dave Fortman.
 According to Lee the song talks about celebrities like Britney Spears and Christina Aguilera, who strip and sell their bodies instead of music to their listeners.
 Inspired by her sister's love for music artists who had false images, Lee wrote the song five years before the release of the album.
"Lost in Paradise" is a song by American rock band Evanescence from their third self-titled studio album, "Evanescence" (2011).
 Although initially penned by frontwoman Amy Lee as a personal song and anticipated to become a B-side, it was later recorded for the album.
 Wind-up Records released the song as the third single from the album on May 25, 2012.
 It was produced by Nick Raskulinecz.
 A snippet of the song premiered online on July 15, 2011, prior to its album's release in October.
 Musically, "Lost in Paradise" is a rock ballad that begins with piano, strings, and Lee's vocals before the band kicks in during the climax.
 Lyrically, it is inspired by the struggles in Lee's life during Evanescence's hiatus.
 The song was compared to Björk's song "Jóga" (1997) and the band's own "My Immortal" (2003).
"Lithium" is a song by American rock band Evanescence recorded for their second studio album "The Open Door".
 It was released on January 1, 2007 as the album's second single through the band's record label Wind-up Records.
 "Lithium" was written by the band's lead singer Amy Lee and produced by music producer Dave Fortman.
 Initially written on the guitar when Lee was 16-years old, the song was rearranged with a complete band performance and a piano introduction.
 The song is a midtempo power ballad which lyrically discusses the uncertainty of the protagonist in choosing between feelings of sorrow and happiness; Lee was inspired by the drug lithium and the feeling of numbness it induces.
 The song was noted for its resemblance to the band's previously recorded material for their debut studio album "Fallen" (2003), particularly to "My Immortal".
"Going Under" is a song by American rock band Evanescence recorded for their debut studio album "Fallen" (2003).
 Wind-up Records released it as the album's second single on September 9, 2003.
 The song was written by Evanescence members Amy Lee, David Hodges and Ben Moody while its production was handled by Dave Fortman.
 The song contains rock and heavy metal elements and its instrumentation consists of drums and guitars built around Lee's soprano vocals.
 Lyrically, "Going Under" talks about an emotionally difficult past relationship.
 It received mostly positive reviews from music critics, most of whom praised its anthemic chorus and Lee's vocal performance.
 "Going Under" peaked at number five on the US "Billboard" Alternative Songs chart, charted in the top ten in Brazil, Italy, New Zealand and the UK and the top forty in various other European countries and Australia.
 It obtained a platinum certification in the latter country by the Australian Recording Industry Association (ARIA).