Universal conductance of a 
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-symmetric Luttinger liquid after a quantum quench

Moca, Cătălin Paşcu; Dóra, Balázs

doi:10.1103/physrevb.104.125124

Cited by 9 publications

(8 citation statements)

References 58 publications

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“…However, low-energy physics shows universal properties, which lead to unconventional quantum critical phenomena characterized by the complex extension of the c = 1 conformal field theory. It is our hope that this paper stimulates further study on dissipative TL liquids in open quantum systems [60][61][62][145][146][147][148][149].…”

Section: Discussionmentioning

confidence: 82%

“…In one-dimensional (1D) NH quantum many-body systems, one of the most intriguing phenomena is the dissipation-* yamamoto.kazuki.72n@st.kyoto-u.ac.jp induced quantum criticality [60][61][62]. For example, the emergence of exceptional points accompanied by the divergence of the correlation length is reported [18], a quantum critical point in an interacting Bose gas is shifted by measurement backaction [27], and anomalous enhancement of the superfluid correlation occurs as a result of a semicircular renormalization-group flow [28].…”

Section: Introductionmentioning

confidence: 99%

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Universal properties of dissipative Tomonaga-Luttinger liquids: Case study of a non-Hermitian XXZ spin chain

et al. 2022

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We demonstrate the universal properties of dissipative Tomonaga-Luttinger (TL) liquids by calculating correlation functions and performing finite-size scaling analysis of a non-Hermitian XXZ spin chain as a prototypical model in one-dimensional open quantum many-body systems. Our analytic calculation is based on effective field theory with bosonization, finite-size scaling approach in conformal field theory, and the Bethe-ansatz solution. Our numerical analysis is based on the density-matrix renormalization group generalized to non-Hermitian systems (NH-DMRG). We uncover that the model in the massless regime with weak dissipation belongs to the universality class characterized by the complex-valued TL parameter, which is related to the complex generalization of the c = 1 conformal field theory. As the dissipation strength increases, the values of the TL parameter obtained by the NH-DMRG begin to deviate from those obtained by the Bethe-ansatz analysis, indicating that the model becomes massive for strong dissipation. Our results can be tested with the two-component Bose-Hubbard system of ultracold atoms subject to two-body loss.

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Section: Discussionmentioning

confidence: 82%

Section: Introductionmentioning

confidence: 99%

Universal properties of dissipative Tomonaga-Luttinger liquids: Case study of a non-Hermitian XXZ spin chain

et al. 2022

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“…As conformal field theory in measurement-induced dynamics is investigated in recent years [115], it is also interesting to investigate how the conformal field theory in NH quantum many-body systems is related to the one in the measurement-induced dynamics. Our work paves the way to study dissipative TL liquids in open quantum systems [116][117][118][119][120][121].…”

Section: Discussionmentioning

confidence: 93%

Universal properties of dissipative Tomonaga-Luttinger liquids: Case study of a non-Hermitian XXZ spin chain

Yamamoto,

Nakagawa,

Tezuka

et al. 2021

Preprint

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We demonstrate the universal properties of dissipative Tomonaga-Luttinger (TL) liquids by calculating correlation functions and performing finite-size scaling analysis of a non-Hermitian XXZ spin chain as a prototypical model in one-dimensional open quantum many-body systems. Our analytic calculation is based on an effective field theory with bosonization, a finite-size scaling approach in conformal field theory, and the Bethe-ansatz solution. We also perform numerical calculations based on the density-matrix renormalization group analysis generalized to non-Hermitian systems (NH-DMRG). We uncover that the model in the massless regime with weak dissipation belongs to the universality class characterized by the complex-valued TL parameter, which is related to the complex generalization of the c = 1 conformal field theory. As the dissipation strength increases, the values of the TL parameter obtained by the NH-DMRG and the Bethe-ansatz analysis start to deviate from each other, indicating that the model becomes massive for strong dissipation. Our results can be tested with ultracold atoms by introducing two-body loss to the two-component Bose-Hubbard system.

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“…For critical systems, entanglement entropy has logarithmic scaling behavior [66,70,71]. Under temporal evolution, Von Neumann entropy also tracks the universal dynamical properties of correlations in various systems, including unitary [72][73][74][75][76][77] or non-unitary quantum quench [78,79], and generic dissipative system [80][81][82][83] and generic stochastic [84][85][86][87][88][89][90][91][92] dynamics in isolated, time-periodic driven system [93][94][95][96], or nonequilibrium systems [90,[97][98][99].…”

mentioning

confidence: 99%

Temporal evolution of one-dimensional fermion liquid with particle loss

Yi¹,

Lin²,

Lin³

et al. 2021

Preprint

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Intriguing phenomenon emerge with the sacrifice of Hermicity in quantum systems, which can be complemented in open system. Open quantum systems behave non-trivially from closed systems especially in temporal evolution. In this work, we study the dynamical properties of a generic one-dimensional fermionic system with particle loss. The short-time behavior of the system is described by a non-Hermitian effective Hamiltonian, while the long-time dynamics is governed by Lindblad master equation. We show that the time-dependent von Neumann entropy with spatial bipartition of the system has universal behaviors hinging on the Liouvillian spectra. On account of thermalization, the entropy increases rapidly in short time when turning on the quantum jumps. Whether the Liouvillian gap closes or not affects the long-time decaying. The left-right asymmetry of quasiparticles in momentum space is observed as a result of non-reciprocal hopping in the effective Hamiltonian induced by correlated quantum-jump operators. This will also induce an interaction-strength-independent momentum-space entanglement in early time. The phenomenon in momentum-space share the same origin with the renowned non-Hermitian skin effect.

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Universal conductance of a PT -symmetric Luttinger liquid after a quantum quench

Cited by 9 publications

References 58 publications

Universal properties of dissipative Tomonaga-Luttinger liquids: Case study of a non-Hermitian XXZ spin chain

Universal properties of dissipative Tomonaga-Luttinger liquids: Case study of a non-Hermitian XXZ spin chain

Universal properties of dissipative Tomonaga-Luttinger liquids: Case study of a non-Hermitian XXZ spin chain

Temporal evolution of one-dimensional fermion liquid with particle loss

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