113 citations · 645 across the 32 of their papers we have counts for
32 papers
Eigenvalues restricted by Lyapunov exponent of eigenstates
Tong Liu, Xu Xia
We point out that the Lyapunov exponent of the eigenstate places restrictions on the eigenvalue. Consequently, with regard to non-Hermitian systems, even without any symmetry, the…
Real-complex transition driven by quasiperiodicity: a new universality class beyond symmetric one
Tong Liu, Xu Xia
We study a one-dimensional lattice model subject to non-Hermitian quasiperiodic potentials. Firstly, we strictly demonstrate that there exists an interesting dual mapping relation…
Mobility edges in -symmetric cross-stitch flat band lattices
Tong Liu, Shujie Cheng
We study the cross-stitch flat band lattice with a -symmetric on-site potential and uncover mobility edges with exact solutions. Furthermore, we study the relationshi…
Anomalous mobility edges in one-dimensional quasiperiodic models
Tong Liu, Xu Xia, Stefano Longhi +1
Mobility edges, separating localized from extended states, are known to arise in the single-particle energy spectrum of disordered systems in dimension strictly higher than two and…
Fate of Majorana zero modes by a modified real-space-Pfaffian method and mobility edges in a one-dimensional quasiperiodic lattice
Shujie Cheng, Yufei Zhu, Gao Xianlong +1
We aim to study a one-dimensional -wave superconductor with quasiperiodic on-site potentials. A modified real-space-Pfaffian method is applied to calculate the topological invar…
Dual-mapping and quantum criticality in off-diagonal Aubry-André models
Tong Liu, Xu Xia
We study a class of off-diagonal quasiperiodic hopping models described by one-dimensional Su-Schrieffer-Heeger chain with quasiperiodic modulations. We unveil a general dual-mappi…
Invariable mobility edge in a quasiperiodic lattice
Tong Liu, Yufei Zhu, Shujie Cheng +3
In this paper, we study a one-dimensional tight-binding model with tunable incommensurate potentials. Through the analysis of the inverse participation rate, we uncover that the wa…
Fate of Majorana zero modes, critical states and non-conventional real-complex transition in non-Hermitian quasiperiodic lattices
Tong Liu, Shujie Cheng, Hao Guo +1
We study a one-dimensional -wave superconductor subject to non-Hermitian quasiperiodic potentials. Although the existence of the non-Hermiticity, the Majorana zero mode is still…
Generalized Aubry-André self-duality and Mobility edges in non-Hermitian quasi-periodic lattices
Tong Liu, Hao Guo, Yong Pu +1
We demonstrate the existence of generalized Aubry-André self-duality in a class of non-Hermitian quasi-periodic lattices with complex potentials. From the self-duality relations, t…
Ubiquity of zeros of Loschmidt amplitude for mixed states in different physical processes and their implications
Xu-Yang Hou, Qu-Cheng Gao, Hao Guo +3
The Loschmidt amplitude of the purified states of mixed-state density matrices is shown to have zeros when the system undergoes a quasistatic, quench, or Uhlmann process. While the…
Probabilistic Nonunitary Gate in Imaginary Time Evolution
Tong Liu, Jin-Guo Liu, Heng Fan
Simulation of quantum matters is a significant application of quantum computers. In contrast to the unitary operation which can be realized naturally on a quantum computer, the imp…
Generation of quantum entangled states of multiple groups of qubits distributed in multiple cavities
Tong Liu, Qi-Ping Su, Yu Zhang +2
Provided that cavities are initially in a Greenberger-Horne-Zeilinger (GHZ) entangled state, we show that GHZ states of N-group qubits distributed in N cavities can be created via…
Transferring entangled states of photonic cat-state qubits in circuit QED
Tong Liu, Zhen-Fei Zheng, Yu Zhang +2
We propose a method for transferring quantum entangled states of two photonic cat-state qubits (cqubits) from two microwave cavities to the other two microwave cavities. This propo…
Quantum thermal transistor based on the qubit-qutrit coupling
Bao-qing Guo, Tong Liu, Chang-shui Yu
A quantum thermal transistor is designed by the strong coupling between one qubit and one qutrit which are in contact with three heat baths with different temperatures. The thermal…
Multifunctional quantum thermal device utilizing three qubits
Bao-qing Guo, Tong Liu, Chang-shui Yu
Quantum thermal devices which can manage heat as their electronic analogues for the electronic currents have attracted increasing attention. Here a three-terminal quantum thermal d…
Dynamical quantum phase transitions on cross-stitch flat band networks
Tong Liu, Hao Guo
We study the quench dynamics on cross-stitch flat band networks by a sudden change of the inter-cell hopping strength . For quench processes with changing as $J=0\rightarrow…
Creation of superposition of arbitrary states encoded in two three-dimensional cavities
Tong Liu, Yang Zhang, Bao-qing Guo +2
The principle of superposition is a key ingredient for quantum mechanics. A recent work [M. Oszmaniec et al., Phys. Rev. Lett. 116, 110403 (2016)] has shown that a quantum adder th…
Topological phase transition in the quasiperiodic disordered Su-Schriffer-Heeger chain
Tong Liu, Hao Guo
We study the stability of the topological phase in one-dimensional Su-Schrieffer-Heeger chain subject to the quasiperiodic hopping disorder. We investigate two different hopping di…
Novel mobility edges in the off-diagonal disordered tight-binding models
Tong Liu, Hao Guo
We study the one-dimensional tight-binding models which include a slowly varying, incommensurate off-diagonal modulation on the hopping amplitude. Interestingly, we find that the m…
One-step implementation of a hybrid Fredkin gate with quantum memories and single superconducting qubit in circuit QED and its applications
Tong Liu, Bao-Qing Guo, Chang-Shui Yu +1
In a recent remarkable experiment [R. B. Patel et al., Science advances 2, e1501531 (2016)], a 3-qubit quantum Fredkin (i.e., controlled-SWAP) gate was demonstrated by using linear…
Deterministic transfer of an unknown qutrit state assisted by the low-Q microwave resonators
Tong Liu, Yang Zhang, Chang-Shui Yu +1
Qutrits (i.e., three-level quantum systems) can be used to achieve many quantum information and communication tasks due to their large Hilbert spaces. In this work, we propose a sc…
Fate of topological states and mobility edges in one-dimensional slowly varying incommensurate potentials
Tong Liu, Hai-Yang Yan, Hao Guo
We investigate the interplay between disorder and superconducting pairing for a one-dimensional -wave superconductor subject to slowly varying incommensurate potentials with mob…
Localization and mobility edges in the off-diagonal quasiperiodic model with slowly varying potentials
Tong Liu, Gao Xianlong, Shihua Chen +1
We study a one-dimensional system that includes both a commensurate off-diagonal modulation of the hopping amplitude and an incommensurate, slowly varying diagonal on-site modulati…
Phase diagram of a generalized off-diagonal Aubry-André model with p-wave pairing
Tong Liu, Pei Wang, Shu Chen +1
Off-diagonal Aubry-André (AA) model has recently attracted a great deal of attention as they provide condensed matter realization of topological phases. We numerically study a gene…