### Abstract

We study the quantum dynamics resulting from preparing a one-dimensional quantum system in the ground state of initially two decoupled parts which are then joined together (local quench). Specifically we focus on the transverse-field Ising chain and compute the time dependence of the magnetization profile, m_{l}(t), and correlation functions at the critical point, in the ferromagnetically ordered phase and in the paramagnetic phase. At the critical point we find finite-size scaling forms for the non-equilibrium magnetization and compare predictions of conformal field theory with our numerical results. In the ferromagnetic phase the magnetization profiles are well matched by predictions from a quasi-classical calculation that we describe.

Original language | English |
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Article number | P10027 |

Journal | Journal of Statistical Mechanics: Theory and Experiment |

Volume | 2011 |

Issue number | 10 |

DOIs | |

Publication status | Published - Oct 2011 |

### Fingerprint

### Keywords

- conformal field theory (theory)
- ladders and planes (theory)
- quantum phase transitions (theory)
- spin chains

### ASJC Scopus subject areas

- Statistics and Probability
- Statistical and Nonlinear Physics
- Statistics, Probability and Uncertainty

### Cite this

*Journal of Statistical Mechanics: Theory and Experiment*,

*2011*(10), [P10027]. https://doi.org/10.1088/1742-5468/2011/10/P10027

**Non-equilibrium quantum dynamics after local quenches.** / Divakaran, Uma; Iglói, F.; Rieger, Heiko.

Research output: Contribution to journal › Article

*Journal of Statistical Mechanics: Theory and Experiment*, vol. 2011, no. 10, P10027. https://doi.org/10.1088/1742-5468/2011/10/P10027

}

TY - JOUR

T1 - Non-equilibrium quantum dynamics after local quenches

AU - Divakaran, Uma

AU - Iglói, F.

AU - Rieger, Heiko

PY - 2011/10

Y1 - 2011/10

N2 - We study the quantum dynamics resulting from preparing a one-dimensional quantum system in the ground state of initially two decoupled parts which are then joined together (local quench). Specifically we focus on the transverse-field Ising chain and compute the time dependence of the magnetization profile, ml(t), and correlation functions at the critical point, in the ferromagnetically ordered phase and in the paramagnetic phase. At the critical point we find finite-size scaling forms for the non-equilibrium magnetization and compare predictions of conformal field theory with our numerical results. In the ferromagnetic phase the magnetization profiles are well matched by predictions from a quasi-classical calculation that we describe.

AB - We study the quantum dynamics resulting from preparing a one-dimensional quantum system in the ground state of initially two decoupled parts which are then joined together (local quench). Specifically we focus on the transverse-field Ising chain and compute the time dependence of the magnetization profile, ml(t), and correlation functions at the critical point, in the ferromagnetically ordered phase and in the paramagnetic phase. At the critical point we find finite-size scaling forms for the non-equilibrium magnetization and compare predictions of conformal field theory with our numerical results. In the ferromagnetic phase the magnetization profiles are well matched by predictions from a quasi-classical calculation that we describe.

KW - conformal field theory (theory)

KW - ladders and planes (theory)

KW - quantum phase transitions (theory)

KW - spin chains

UR - http://www.scopus.com/inward/record.url?scp=80155212249&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=80155212249&partnerID=8YFLogxK

U2 - 10.1088/1742-5468/2011/10/P10027

DO - 10.1088/1742-5468/2011/10/P10027

M3 - Article

VL - 2011

JO - Journal of Statistical Mechanics: Theory and Experiment

JF - Journal of Statistical Mechanics: Theory and Experiment

SN - 1742-5468

IS - 10

M1 - P10027

ER -