Topological order characterizes those phases of matter that defy a description in terms of symmetry and cannot be distinguished in terms of local order parameters. Here we show that a system of n spins forming a lattice on a Riemann surface can undergo a second order quantum phase transition between a spin-polarized phase and a string-net condensed phase. This is an example of a quantum phase transition between magnetic and topological order. We furthermore show how to prepare the topologically ordered phase through adiabatic evolution in a time that is upper bounded by O(root n). This provides a physically plausible method for constructing and initializing a topological quantum memory. RI Lidar, Daniel/A-5871-2008
Adiabatic preparation of topological order / Hamma, A; Lidar, Da. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 100:3(2008). [10.1103/PhysRevLett.100.030502]
Adiabatic preparation of topological order
Hamma A;
2008
Abstract
Topological order characterizes those phases of matter that defy a description in terms of symmetry and cannot be distinguished in terms of local order parameters. Here we show that a system of n spins forming a lattice on a Riemann surface can undergo a second order quantum phase transition between a spin-polarized phase and a string-net condensed phase. This is an example of a quantum phase transition between magnetic and topological order. We furthermore show how to prepare the topologically ordered phase through adiabatic evolution in a time that is upper bounded by O(root n). This provides a physically plausible method for constructing and initializing a topological quantum memory. RI Lidar, Daniel/A-5871-2008File | Dimensione | Formato | |
---|---|---|---|
PhysRevLett.100.030502.pdf
accesso aperto
Licenza:
Non specificato
Dimensione
137.53 kB
Formato
Adobe PDF
|
137.53 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.