Phaseshifting is Angel's Siren power. As Lilith can Phasewalk to navigate the battlefield safely, and Maya can Phaselock an opponent to immobilize them, Angel can Phaseshift. Though limited to whatever technology within reach, anything she is connected are subject to her manipulation with varying effects. Throughout the Borderlands 2 storyline, Angel uses her power to interface with Hyperion technology, or electronics that are connected to Hyperion equipment, accompanied by the line "executing phaseshift."
While Angel appears to possess the ability to digistruct ammunition for the player character in her control core, this might be associated with existing digistruction technology already present there.
Borderlands 3[]
Patricia Tannis gained Angel's Siren Power after her death. Tannis concealed this to avoid further scrutiny due to her reputation as a prominent Eridian researcher. After her abduction to Carnivora, the Vault Hunters come to her rescue and cripple The Agonizer 9000. Tannis reveals her Phaseshifting power and taps into the machine, destroying it with a few smashes.
The sidequest Childhood's End in Konrad's Hold both elaborates on the technopathic nature of Phaseshifting and the events (previously hinted at by both Angel and Handsome Jack in Borderlands 2) that caused Angel to eventually be imprisoned by her father, primarily due to her lack of control over her powers at a young age combined with an unfortunate outburst of emotions.