We consider quantum quenches in the integrable SU(3)-invariant spin chain (Lai Sutherland model), and focus on the family of integrable initial states. By means of a quantum transfer matrix approach, these can be related to solitonnon-preserving boundary transfer matrices in an appropriate transverse direction. In this work, we provide a technical analysis of such integrable transfer matrices. In particular, we address the computation of their spectrum: This is achieved by deriving a set of functional relations between the eigenvalues of certain fused operators that are constructed starting from the soliton-non-preserving boundary transfer matrices (namely the T-and Y-systems). As a direct physical application of our analysis, we compute the Loschmidt echo for imaginary and real times after a quench from the integrable states. Our results are also relevant for the study of the spectrum of SU(3)-invariant Hamiltonians with open boundary conditions.

Lorenzo Piroli, Eric Vernier, Pasquale Calabrese, Balazs Pozsgay (2019). Integrable quenches in nested spin chains II: Fusion of boundary transfer matrices. JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT, 2019(6), 063104-1-063104-34 [10.1088/1742-5468/ab1c52].

Integrable quenches in nested spin chains II: Fusion of boundary transfer matrices

Lorenzo Piroli
;
2019

Abstract

We consider quantum quenches in the integrable SU(3)-invariant spin chain (Lai Sutherland model), and focus on the family of integrable initial states. By means of a quantum transfer matrix approach, these can be related to solitonnon-preserving boundary transfer matrices in an appropriate transverse direction. In this work, we provide a technical analysis of such integrable transfer matrices. In particular, we address the computation of their spectrum: This is achieved by deriving a set of functional relations between the eigenvalues of certain fused operators that are constructed starting from the soliton-non-preserving boundary transfer matrices (namely the T-and Y-systems). As a direct physical application of our analysis, we compute the Loschmidt echo for imaginary and real times after a quench from the integrable states. Our results are also relevant for the study of the spectrum of SU(3)-invariant Hamiltonians with open boundary conditions.
2019
Lorenzo Piroli, Eric Vernier, Pasquale Calabrese, Balazs Pozsgay (2019). Integrable quenches in nested spin chains II: Fusion of boundary transfer matrices. JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT, 2019(6), 063104-1-063104-34 [10.1088/1742-5468/ab1c52].
Lorenzo Piroli; Eric Vernier; Pasquale Calabrese; Balazs Pozsgay
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/941544
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