Guan, Xi-WenBatchelor, Murray T.Li (Lee), ChaohongZhou, H-Q.2009-10-162010-12-202009-10-162010-12-20Physical Review Letters 100.20 (2008): 200401/1-40031-90071079-7114http://hdl.handle.net/10440/937http://digitalcollections.anu.edu.au/handle/10440/937We investigate the nature of trions, pairing, and quantum phase transitions in one-dimensional strongly attractive three-component ultracold fermions in external fields. Exact results for the ground-state energy, critical fields, magnetization and phase diagrams are obtained analytically from the Bethe ansatz solutions. Driven by Zeeman splitting, the system shows exotic phases of trions, bound pairs, a normal Fermi liquid, and four mixtures of these states. Particularly, a smooth phase transition from a trionic phase into a pairing phase occurs as the highest hyperfine level separates from the two lower energy levels. In contrast, there is a smooth phase transition from the trionic phase into a normal Fermi liquid as the lowest level separates from the two higher levels.4 pageshttp://www.sherpa.ac.uk/romeo/index.php "Author can archive pre-print (ie pre-refereeing) … post-print (ie final draft post-refereeing) … [and] publisher's version/PDF. Link to publisher version … [and] Copyright notice required. Publisher's version/PDF can be used on … employers web site." - from SHERPA/RoMEO site (as at 25/02/10). ©2008 The American Physical SocietyKeywords: Fermi liquids; Ground state; Magnetization; Molecular dynamics; Phase diagrams; Phase transitions; Bethe ansatz solutions; Quantum phase transitions; Trions; Ultracold fermions; Zeeman splitting; Fermions2008-05-1910.1103/PhysRevLett.100.2004012015-12-08