We study the topology and edge mode physics at quantum criticality for correlated quantum matter which was introduced in Nature Physics 1.1, 53(2005). Our model Hamiltonian belongs to BDI symmetry class with short range and long range interactions. We observe an interesting behavior that edge modes behave differently although the Hamiltonian belongs to same symmetry class. We do the complex analysis to unveil the topological properties of the Hamiltonian. We show, the physics of the edge mode is not the same for all quantum critical lines since we find gapless edge modes at criticality. We also show, merging of zero modes with the bulk for certain parameter regime. The central charge (c) are used to characterize different phases of the model Hamiltonian.We study the topology and edge mode physics at quantum criticality for correlated quantum matter which was introduced in Nature Physics 1.1, 53(2005). Our model Hamiltonian belongs to BDI symmetry class with short range and long range interactions. We observe an interesting behavior that edge modes behave differently although the Hamiltonian belongs to same symmetry class. We do the complex analysis to unveil the topological properties of the Hamiltonian. We show, the physics of the edge mode is not the same for all quantum critical lines since we find gapless edge modes at criticality. We also show, merging of zero modes with the bulk for certain parameter regime. The central charge (c) are used to characterize different phases of the model Hamiltonian.

Jun 11, 20190 citations

Dynamics and Criticality of Correlated Electrons and Quantum Gases

C. Lavalle, Marcos Rigol, Jochen S. Hub +1 more

Springer eBooksJun 16, 20071 citation

Nonequilibrium quantum critical steady state: Transport through a dissipative resonant level

Gu Zhang, Chung‐Hou Chung, Chung-Ting Ke +5 more

Nonequilibrium properties of correlated quantum matter are being intensively investigated because of the rich interplay between external driving and the many-body correlations. Of particular interest is the nonequilibrium behavior near a quantum critical point (QCP), where the system is delicately balanced between different ground states. We present both an analytical calculation of the nonequilibrium steady-state current in a critical system and experimental results to which the theory is compared. The system is a quantum dot coupled to resistive leads: a spinless resonant level interacting with an ohmic dissipative environment. A two channel Kondo-like QCP occurs when the level is on resonance and symmetrically coupled to the leads, conditions achieved by fine-tuning using electrostatic gates. We calculate and measure the nonlinear current as a function of bias ( $I$ - $V$ curve) at the critical values of the gate voltages corresponding to the QCP. The quantitative agreement between the experimental data and the theory, with no fitting parameter, is excellent. As our system is fully accessible to both theory and experiment, it provides an ideal setting for addressing nonequilibrium phenomena in correlated quantum matter.Nonequilibrium properties of correlated quantum matter are being intensively investigated because of the rich interplay between external driving and the many-body correlations. Of particular interest is the nonequilibrium behavior near a quantum critical point (QCP), where the system is delicately balanced between different ground states. We present both an analytical calculation of the nonequilibrium steady-state current in a critical system and experimental results to which the theory is compared. The system is a quantum dot coupled to resistive leads: a spinless resonant level interacting with an ohmic dissipative environment. A two channel Kondo-like QCP occurs when the level is on resonance and symmetrically coupled to the leads, conditions achieved by fine-tuning using electrostatic gates. We calculate and measure the nonlinear current as a function of bias ($I$-$V$ curve) at the critical values of the gate voltages corresponding to the QCP. The quantitative agreement between the experimental data and the theory, with no fitting parameter, is excellent. As our system is fully accessible to both theory and experiment, it provides an ideal setting for addressing nonequilibrium phenomena in correlated quantum matter.

arXiv:1609.04765Physical Review ResearchFeb 11, 20217 citations

Interplay of Quantum and Statistical Fluctuations in Critical Quantum Matter

Harley D. Scammell

Springer thesesJan 1, 20182 citations

Three studies in quantum criticality

R. R. Ramazashvili

Jan 1, 19980 citations

Matter wave interference of dilute Bose gases in the critical regime

Xuguang Yue, Shujuan Liu, Biao Wu +1 more

Ultra-cold atomic gases provide a new chance to study the universal critical behavior of phase transition. We study theoretically the matter wave interference for ultra-cold Bose gases in the critical regime. We demonstrate that the interference in the momentum distribution can be used to extract the correlation in the Bose gas. A simple relation between the interference visibility and the correlation length is found and used to interpret the pioneering experiment about the critical behavior of dilute Bose gases [Science 315 1556 (2007)]. Our theory paves the way to experimentally study various types of ultra-cold atomic gases with the means of matter wave interference.Ultra-cold atomic gases provide a new chance to study the universal critical behavior of phase transition. We study theoretically the matter wave interference for ultra-cold Bose gases in the critical regime. We demonstrate that the interference in the momentum distribution can be used to extract the correlation in the Bose gas. A simple relation between the interference visibility and the correlation length is found and used to interpret the pioneering experiment about the critical behavior of dilute Bose gases [Science 315 1556 (2007)]. Our theory paves the way to experimentally study various types of ultra-cold atomic gases with the means of matter wave interference.

arXiv:1703.02738Chinese Physics BMay 1, 20170 citations

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curve) at the critical values of the gate voltages corresponding to the QCP. The quantitative agreement between the experimental data and the theory, with no fitting parameter, is excellent. As our system is fully accessible to both theory and experiment, it provides an ideal setting for addressing nonequilibrium phenomena in correlated quantum matter.